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Finding the Third Proportional to 83,136.38 and 178,745.63

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Solution

The third proportional to 83,136.38 and 178,745.63 is: 384,308.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,136.38 : 178,745.63 = 178,745.63 : x
  2. Step 2: Convert to fraction form
    83,136.38/178,745.63 = 178,745.63/x
  3. Step 3: Cross multiply
    83,136.38x = 178,745.63 × 178,745.63
  4. Step 4: Simplify right side
    83,136.38x = 31,949,998,456.64
  5. Step 5: Solve for x
    x = 31,949,998,456.64/83,136.38
  6. Step 6: Final answer
    x = 384,308.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.