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Finding the Third Proportional to 87,616.50 and 191,817

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Solution

The third proportional to 87,616.50 and 191,817 is: 419,941.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,616.50 : 191,817 = 191,817 : x
  2. Step 2: Convert to fraction form
    87,616.50/191,817 = 191,817/x
  3. Step 3: Cross multiply
    87,616.50x = 191,817 × 191,817
  4. Step 4: Simplify right side
    87,616.50x = 36,793,761,489
  5. Step 5: Solve for x
    x = 36,793,761,489/87,616.50
  6. Step 6: Final answer
    x = 419,941.01

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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.