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Finding the Third Proportional to 87,866 and 189,460

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Solution

The third proportional to 87,866 and 189,460 is: 408,520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,866 : 189,460 = 189,460 : x
  2. Step 2: Convert to fraction form
    87,866/189,460 = 189,460/x
  3. Step 3: Cross multiply
    87,866x = 189,460 × 189,460
  4. Step 4: Simplify right side
    87,866x = 35,895,091,600
  5. Step 5: Solve for x
    x = 35,895,091,600/87,866
  6. Step 6: Final answer
    x = 408,520.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.