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Finding the Third Proportional to 81,870.75 and 179,809.88

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Solution

The third proportional to 81,870.75 and 179,809.88 is: 394,910.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,870.75 : 179,809.88 = 179,809.88 : x
  2. Step 2: Convert to fraction form
    81,870.75/179,809.88 = 179,809.88/x
  3. Step 3: Cross multiply
    81,870.75x = 179,809.88 × 179,809.88
  4. Step 4: Simplify right side
    81,870.75x = 32,331,591,147.52
  5. Step 5: Solve for x
    x = 32,331,591,147.52/81,870.75
  6. Step 6: Final answer
    x = 394,910.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.