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Finding the Third Proportional to 81,651.25 and 166,582.88

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Solution

The third proportional to 81,651.25 and 166,582.88 is: 339,858.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,651.25 : 166,582.88 = 166,582.88 : x
  2. Step 2: Convert to fraction form
    81,651.25/166,582.88 = 166,582.88/x
  3. Step 3: Cross multiply
    81,651.25x = 166,582.88 × 166,582.88
  4. Step 4: Simplify right side
    81,651.25x = 27,749,854,243.27
  5. Step 5: Solve for x
    x = 27,749,854,243.27/81,651.25
  6. Step 6: Final answer
    x = 339,858.29

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.