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Finding the Third Proportional to 82,555,481.25 and 179,638,251.75

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Solution

The third proportional to 82,555,481.25 and 179,638,251.75 is: 390,887,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,555,481.25 : 179,638,251.75 = 179,638,251.75 : x
  2. Step 2: Convert to fraction form
    82,555,481.25/179,638,251.75 = 179,638,251.75/x
  3. Step 3: Cross multiply
    82,555,481.25x = 179,638,251.75 × 179,638,251.75
  4. Step 4: Simplify right side
    82,555,481.25x = 32,269,901,491,796,380
  5. Step 5: Solve for x
    x = 32,269,901,491,796,380/82,555,481.25
  6. Step 6: Final answer
    x = 390,887,449.30

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.