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Finding the Third Proportional to 87,383.50 and 191,121

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Solution

The third proportional to 87,383.50 and 191,121 is: 418,010.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,383.50 : 191,121 = 191,121 : x
  2. Step 2: Convert to fraction form
    87,383.50/191,121 = 191,121/x
  3. Step 3: Cross multiply
    87,383.50x = 191,121 × 191,121
  4. Step 4: Simplify right side
    87,383.50x = 36,527,236,641
  5. Step 5: Solve for x
    x = 36,527,236,641/87,383.50
  6. Step 6: Final answer
    x = 418,010.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.