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Finding the Third Proportional to 80,619.75 and 188,260.31

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Solution

The third proportional to 80,619.75 and 188,260.31 is: 439,618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,619.75 : 188,260.31 = 188,260.31 : x
  2. Step 2: Convert to fraction form
    80,619.75/188,260.31 = 188,260.31/x
  3. Step 3: Cross multiply
    80,619.75x = 188,260.31 × 188,260.31
  4. Step 4: Simplify right side
    80,619.75x = 35,441,945,262.60
  5. Step 5: Solve for x
    x = 35,441,945,262.60/80,619.75
  6. Step 6: Final answer
    x = 439,618.65

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.