Finding the Third Proportional to 105,915.75 and 232,821.75
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Solution
The third proportional to 105,915.75 and 232,821.75 is: 511,783.82
Step by Step Solution
- Step 1: Write the proportion equation
105,915.75 : 232,821.75 = 232,821.75 : x - Step 2: Convert to fraction form
105,915.75/232,821.75 = 232,821.75/x - Step 3: Cross multiply
105,915.75x = 232,821.75 × 232,821.75 - Step 4: Simplify right side
105,915.75x = 54,205,967,273.06 - Step 5: Solve for x
x = 54,205,967,273.06/105,915.75 - Step 6: Final answer
x = 511,783.82
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.