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Finding the Third Proportional to 43,481.81 and 91,629.56

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Solution

The third proportional to 43,481.81 and 91,629.56 is: 193,091.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,481.81 : 91,629.56 = 91,629.56 : x
  2. Step 2: Convert to fraction form
    43,481.81/91,629.56 = 91,629.56/x
  3. Step 3: Cross multiply
    43,481.81x = 91,629.56 × 91,629.56
  4. Step 4: Simplify right side
    43,481.81x = 8,395,976,723.94
  5. Step 5: Solve for x
    x = 8,395,976,723.94/43,481.81
  6. Step 6: Final answer
    x = 193,091.69

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.