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Finding the Third Proportional to 87,645.38 and 191,875.50

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Solution

The third proportional to 87,645.38 and 191,875.50 is: 420,058.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,645.38 : 191,875.50 = 191,875.50 : x
  2. Step 2: Convert to fraction form
    87,645.38/191,875.50 = 191,875.50/x
  3. Step 3: Cross multiply
    87,645.38x = 191,875.50 × 191,875.50
  4. Step 4: Simplify right side
    87,645.38x = 36,816,207,500.25
  5. Step 5: Solve for x
    x = 36,816,207,500.25/87,645.38
  6. Step 6: Final answer
    x = 420,058.76

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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.