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Finding the Third Proportional to 87,663.38 and 191,729.25

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Solution

The third proportional to 87,663.38 and 191,729.25 is: 419,332.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,663.38 : 191,729.25 = 191,729.25 : x
  2. Step 2: Convert to fraction form
    87,663.38/191,729.25 = 191,729.25/x
  3. Step 3: Cross multiply
    87,663.38x = 191,729.25 × 191,729.25
  4. Step 4: Simplify right side
    87,663.38x = 36,760,105,305.56
  5. Step 5: Solve for x
    x = 36,760,105,305.56/87,663.38
  6. Step 6: Final answer
    x = 419,332.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.