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Finding the Third Proportional to 87,980 and 191,837

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Solution

The third proportional to 87,980 and 191,837 is: 418,293.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,980 : 191,837 = 191,837 : x
  2. Step 2: Convert to fraction form
    87,980/191,837 = 191,837/x
  3. Step 3: Cross multiply
    87,980x = 191,837 × 191,837
  4. Step 4: Simplify right side
    87,980x = 36,801,434,569
  5. Step 5: Solve for x
    x = 36,801,434,569/87,980
  6. Step 6: Final answer
    x = 418,293.19

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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.