Finding the Third Proportional to 91,586 and 198,724
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Solution
The third proportional to 91,586 and 198,724 is: 431,192.85
Step by Step Solution
- Step 1: Write the proportion equation
91,586 : 198,724 = 198,724 : x - Step 2: Convert to fraction form
91,586/198,724 = 198,724/x - Step 3: Cross multiply
91,586x = 198,724 × 198,724 - Step 4: Simplify right side
91,586x = 39,491,228,176 - Step 5: Solve for x
x = 39,491,228,176/91,586 - Step 6: Final answer
x = 431,192.85
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.