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Finding the Third Proportional to 99,632 and 215,545

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Solution

The third proportional to 99,632 and 215,545 is: 466,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,632 : 215,545 = 215,545 : x
  2. Step 2: Convert to fraction form
    99,632/215,545 = 215,545/x
  3. Step 3: Cross multiply
    99,632x = 215,545 × 215,545
  4. Step 4: Simplify right side
    99,632x = 46,459,647,025
  5. Step 5: Solve for x
    x = 46,459,647,025/99,632
  6. Step 6: Final answer
    x = 466,312.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.