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Finding the Third Proportional to 87,490.13 and 191,747.25

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Solution

The third proportional to 87,490.13 and 191,747.25 is: 420,241.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,490.13 : 191,747.25 = 191,747.25 : x
  2. Step 2: Convert to fraction form
    87,490.13/191,747.25 = 191,747.25/x
  3. Step 3: Cross multiply
    87,490.13x = 191,747.25 × 191,747.25
  4. Step 4: Simplify right side
    87,490.13x = 36,767,007,882.56
  5. Step 5: Solve for x
    x = 36,767,007,882.56/87,490.13
  6. Step 6: Final answer
    x = 420,241.80

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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.