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Finding the Third Proportional to 84,042.98 and 182,086.31

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Solution

The third proportional to 84,042.98 and 182,086.31 is: 394,505.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,042.98 : 182,086.31 = 182,086.31 : x
  2. Step 2: Convert to fraction form
    84,042.98/182,086.31 = 182,086.31/x
  3. Step 3: Cross multiply
    84,042.98x = 182,086.31 × 182,086.31
  4. Step 4: Simplify right side
    84,042.98x = 33,155,425,199.85
  5. Step 5: Solve for x
    x = 33,155,425,199.85/84,042.98
  6. Step 6: Final answer
    x = 394,505.57

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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.