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Finding the Third Proportional to 96,727 and 205,909

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Solution

The third proportional to 96,727 and 205,909 is: 438,331.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,727 : 205,909 = 205,909 : x
  2. Step 2: Convert to fraction form
    96,727/205,909 = 205,909/x
  3. Step 3: Cross multiply
    96,727x = 205,909 × 205,909
  4. Step 4: Simplify right side
    96,727x = 42,398,516,281
  5. Step 5: Solve for x
    x = 42,398,516,281/96,727
  6. Step 6: Final answer
    x = 438,331.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.