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Finding the Third Proportional to 87,667.31 and 191,739.66

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Solution

The third proportional to 87,667.31 and 191,739.66 is: 419,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,667.31 : 191,739.66 = 191,739.66 : x
  2. Step 2: Convert to fraction form
    87,667.31/191,739.66 = 191,739.66/x
  3. Step 3: Cross multiply
    87,667.31x = 191,739.66 × 191,739.66
  4. Step 4: Simplify right side
    87,667.31x = 36,764,095,778.87
  5. Step 5: Solve for x
    x = 36,764,095,778.87/87,667.31
  6. Step 6: Final answer
    x = 419,359.22

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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.