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Finding the Third Proportional to 87,636 and 191,288

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Solution

The third proportional to 87,636 and 191,288 is: 417,535.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,636 : 191,288 = 191,288 : x
  2. Step 2: Convert to fraction form
    87,636/191,288 = 191,288/x
  3. Step 3: Cross multiply
    87,636x = 191,288 × 191,288
  4. Step 4: Simplify right side
    87,636x = 36,591,098,944
  5. Step 5: Solve for x
    x = 36,591,098,944/87,636
  6. Step 6: Final answer
    x = 417,535.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.