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Finding the Third Proportional to 77,882,366 and 166,188,932

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Solution

The third proportional to 77,882,366 and 166,188,932 is: 354,621,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882,366 : 166,188,932 = 166,188,932 : x
  2. Step 2: Convert to fraction form
    77,882,366/166,188,932 = 166,188,932/x
  3. Step 3: Cross multiply
    77,882,366x = 166,188,932 × 166,188,932
  4. Step 4: Simplify right side
    77,882,366x = 27,618,761,119,300,624
  5. Step 5: Solve for x
    x = 27,618,761,119,300,624/77,882,366
  6. Step 6: Final answer
    x = 354,621,495.70

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.