Finding the Third Proportional to 96,540 and 204,732
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Solution
The third proportional to 96,540 and 204,732 is: 434,174.35
Step by Step Solution
- Step 1: Write the proportion equation
96,540 : 204,732 = 204,732 : x - Step 2: Convert to fraction form
96,540/204,732 = 204,732/x - Step 3: Cross multiply
96,540x = 204,732 × 204,732 - Step 4: Simplify right side
96,540x = 41,915,191,824 - Step 5: Solve for x
x = 41,915,191,824/96,540 - Step 6: Final answer
x = 434,174.35
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.