The number with a 3 in the unit's place and a value that is 100 times greater than the value of the 3 in 20.342 is 108.173.
To determine which number has a 3 with a value that is 100 times greater than the value of the 3 in 20.342, let's focus on the place value of the 3 in 20.342.
In the number 20.342, the 3 is in the hundredths place. To find a number with a 3 in a place that is 100 times greater, we need to move two places to the left. So, the corresponding place for the 3 with a value 100 times greater is the unit's place.
Now, we can examine the given options:
36.25: The unit's place has a 6, not a 3.
108.173: The unit's place has a 3, and this is the number we are looking for.
307.18: The unit's place has a 7, not a 3.
423.06: The unit's place has a 6, not a 3.
Therefore, the number with a 3 in the unit's place and a value that is 100 times greater than the value of the 3 in 20.342 is 108.173.