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Finding the Third Proportional to 82,708.31 and 179,415.56

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Solution

The third proportional to 82,708.31 and 179,415.56 is: 389,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,708.31 : 179,415.56 = 179,415.56 : x
  2. Step 2: Convert to fraction form
    82,708.31/179,415.56 = 179,415.56/x
  3. Step 3: Cross multiply
    82,708.31x = 179,415.56 × 179,415.56
  4. Step 4: Simplify right side
    82,708.31x = 32,189,944,067.19
  5. Step 5: Solve for x
    x = 32,189,944,067.19/82,708.31
  6. Step 6: Final answer
    x = 389,198.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.