Problem Analysis:
- We are given that the average of 25 consecutive odd numbers is 93.
- We need to find the largest of these numbers.

Solution:
Step 1: Understand the problem and gather information.
- We are given that the average of 25 consecutive odd numbers is 93.
- We need to find the largest of these numbers.

Step 2: Understand the concept of consecutive odd numbers.
- Consecutive odd numbers are a sequence of odd numbers where the difference between consecutive numbers is always 2.
- For example, the first few consecutive odd numbers are: 1, 3, 5, 7, 9, 11, 13, ...

Step 3: Find the middle number of the sequence.
- Since the average of the 25 consecutive odd numbers is 93, the middle number of the sequence will also be 93.
- This is because the average is the sum of all the numbers divided by the count of numbers.

Step 4: Determine the range of the consecutive odd numbers.
- Since there are 25 consecutive odd numbers, the range will be from the middle number to the first number and from the middle number to the last number.
- The first number will be the middle number minus 24 (25-1) multiplied by 2 (the difference between consecutive odd numbers).
- The last number will be the middle number plus 24 multiplied by 2.

Step 5: Calculate the largest number.
- To find the largest number, we need to calculate the last number in the range of consecutive odd numbers.
- Using the formula from Step 4, the last number will be 93 + (24 * 2) = 93 + 48 = 141.

Step 6: Answer the question.
- The largest number among the 25 consecutive odd numbers is 141.

Conclusion:
- The largest number among the 25 consecutive odd numbers is 141.