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Finding the Third Proportional to 38,878.31 and 85,149.56

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Solution

The third proportional to 38,878.31 and 85,149.56 is: 186,490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,878.31 : 85,149.56 = 85,149.56 : x
  2. Step 2: Convert to fraction form
    38,878.31/85,149.56 = 85,149.56/x
  3. Step 3: Cross multiply
    38,878.31x = 85,149.56 × 85,149.56
  4. Step 4: Simplify right side
    38,878.31x = 7,250,447,993.94
  5. Step 5: Solve for x
    x = 7,250,447,993.94/38,878.31
  6. Step 6: Final answer
    x = 186,490.81

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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.