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Finding the Third Proportional to 40,432.78 and 87,737.91

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Solution

The third proportional to 40,432.78 and 87,737.91 is: 190,388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,432.78 : 87,737.91 = 87,737.91 : x
  2. Step 2: Convert to fraction form
    40,432.78/87,737.91 = 87,737.91/x
  3. Step 3: Cross multiply
    40,432.78x = 87,737.91 × 87,737.91
  4. Step 4: Simplify right side
    40,432.78x = 7,697,940,193.13
  5. Step 5: Solve for x
    x = 7,697,940,193.13/40,432.78
  6. Step 6: Final answer
    x = 190,388.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.