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Finding the Third Proportional to 87,984 and 191,850

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Solution

The third proportional to 87,984 and 191,850 is: 418,330.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,984 : 191,850 = 191,850 : x
  2. Step 2: Convert to fraction form
    87,984/191,850 = 191,850/x
  3. Step 3: Cross multiply
    87,984x = 191,850 × 191,850
  4. Step 4: Simplify right side
    87,984x = 36,806,422,500
  5. Step 5: Solve for x
    x = 36,806,422,500/87,984
  6. Step 6: Final answer
    x = 418,330.86

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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.