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Finding the Third Proportional to 80,371.88 and 171,815.88

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Solution

The third proportional to 80,371.88 and 171,815.88 is: 367,301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,371.88 : 171,815.88 = 171,815.88 : x
  2. Step 2: Convert to fraction form
    80,371.88/171,815.88 = 171,815.88/x
  3. Step 3: Cross multiply
    80,371.88x = 171,815.88 × 171,815.88
  4. Step 4: Simplify right side
    80,371.88x = 29,520,694,902.02
  5. Step 5: Solve for x
    x = 29,520,694,902.02/80,371.88
  6. Step 6: Final answer
    x = 367,301.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.