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Finding the Third Proportional to 40,711.36 and 89,704.97

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Solution

The third proportional to 40,711.36 and 89,704.97 is: 197,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,711.36 : 89,704.97 = 89,704.97 : x
  2. Step 2: Convert to fraction form
    40,711.36/89,704.97 = 89,704.97/x
  3. Step 3: Cross multiply
    40,711.36x = 89,704.97 × 89,704.97
  4. Step 4: Simplify right side
    40,711.36x = 8,046,981,418.44
  5. Step 5: Solve for x
    x = 8,046,981,418.44/40,711.36
  6. Step 6: Final answer
    x = 197,659.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.