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Finding the Third Proportional to 43,657.31 and 90,441.56

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Solution

The third proportional to 43,657.31 and 90,441.56 is: 187,360.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,657.31 : 90,441.56 = 90,441.56 : x
  2. Step 2: Convert to fraction form
    43,657.31/90,441.56 = 90,441.56/x
  3. Step 3: Cross multiply
    43,657.31x = 90,441.56 × 90,441.56
  4. Step 4: Simplify right side
    43,657.31x = 8,179,676,227.44
  5. Step 5: Solve for x
    x = 8,179,676,227.44/43,657.31
  6. Step 6: Final answer
    x = 187,360.97

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.