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Finding the Third Proportional to 99,342 and 216,530

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Solution

The third proportional to 99,342 and 216,530 is: 471,957.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,342 : 216,530 = 216,530 : x
  2. Step 2: Convert to fraction form
    99,342/216,530 = 216,530/x
  3. Step 3: Cross multiply
    99,342x = 216,530 × 216,530
  4. Step 4: Simplify right side
    99,342x = 46,885,240,900
  5. Step 5: Solve for x
    x = 46,885,240,900/99,342
  6. Step 6: Final answer
    x = 471,957.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.