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Finding the Third Proportional to 68,806.31 and 143,854.69

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Solution

The third proportional to 68,806.31 and 143,854.69 is: 300,759.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,806.31 : 143,854.69 = 143,854.69 : x
  2. Step 2: Convert to fraction form
    68,806.31/143,854.69 = 143,854.69/x
  3. Step 3: Cross multiply
    68,806.31x = 143,854.69 × 143,854.69
  4. Step 4: Simplify right side
    68,806.31x = 20,694,171,115.72
  5. Step 5: Solve for x
    x = 20,694,171,115.72/68,806.31
  6. Step 6: Final answer
    x = 300,759.78

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.