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Finding the Third Proportional to 81,211,742 and 175,367,244

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Solution

The third proportional to 81,211,742 and 175,367,244 is: 378,685,021.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,211,742 : 175,367,244 = 175,367,244 : x
  2. Step 2: Convert to fraction form
    81,211,742/175,367,244 = 175,367,244/x
  3. Step 3: Cross multiply
    81,211,742x = 175,367,244 × 175,367,244
  4. Step 4: Simplify right side
    81,211,742x = 30,753,670,268,155,536
  5. Step 5: Solve for x
    x = 30,753,670,268,155,536/81,211,742
  6. Step 6: Final answer
    x = 378,685,021.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.