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Finding the Third Proportional to 87,930 and 195,552

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Solution

The third proportional to 87,930 and 195,552 is: 434,898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,930 : 195,552 = 195,552 : x
  2. Step 2: Convert to fraction form
    87,930/195,552 = 195,552/x
  3. Step 3: Cross multiply
    87,930x = 195,552 × 195,552
  4. Step 4: Simplify right side
    87,930x = 38,240,584,704
  5. Step 5: Solve for x
    x = 38,240,584,704/87,930
  6. Step 6: Final answer
    x = 434,898.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.