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Finding the Third Proportional to 87,310.41 and 191,387.81

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Solution

The third proportional to 87,310.41 and 191,387.81 is: 419,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,310.41 : 191,387.81 = 191,387.81 : x
  2. Step 2: Convert to fraction form
    87,310.41/191,387.81 = 191,387.81/x
  3. Step 3: Cross multiply
    87,310.41x = 191,387.81 × 191,387.81
  4. Step 4: Simplify right side
    87,310.41x = 36,629,294,773.54
  5. Step 5: Solve for x
    x = 36,629,294,773.54/87,310.41
  6. Step 6: Final answer
    x = 419,529.54

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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.