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Finding the Third Proportional to 80,414.44 and 171,872.44

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Solution

The third proportional to 80,414.44 and 171,872.44 is: 367,348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,414.44 : 171,872.44 = 171,872.44 : x
  2. Step 2: Convert to fraction form
    80,414.44/171,872.44 = 171,872.44/x
  3. Step 3: Cross multiply
    80,414.44x = 171,872.44 × 171,872.44
  4. Step 4: Simplify right side
    80,414.44x = 29,540,134,772.19
  5. Step 5: Solve for x
    x = 29,540,134,772.19/80,414.44
  6. Step 6: Final answer
    x = 367,348.65

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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.