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Finding the Third Proportional to 81,387.28 and 178,532.44

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Solution

The third proportional to 81,387.28 and 178,532.44 is: 391,631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,387.28 : 178,532.44 = 178,532.44 : x
  2. Step 2: Convert to fraction form
    81,387.28/178,532.44 = 178,532.44/x
  3. Step 3: Cross multiply
    81,387.28x = 178,532.44 × 178,532.44
  4. Step 4: Simplify right side
    81,387.28x = 31,873,831,239.69
  5. Step 5: Solve for x
    x = 31,873,831,239.69/81,387.28
  6. Step 6: Final answer
    x = 391,631.60

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.