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Finding the Third Proportional to 198,941,330 and 428,115,756

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Solution

The third proportional to 198,941,330 and 428,115,756 is: 921,292,224.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,941,330 : 428,115,756 = 428,115,756 : x
  2. Step 2: Convert to fraction form
    198,941,330/428,115,756 = 428,115,756/x
  3. Step 3: Cross multiply
    198,941,330x = 428,115,756 × 428,115,756
  4. Step 4: Simplify right side
    198,941,330x = 183,283,100,535,451,520
  5. Step 5: Solve for x
    x = 183,283,100,535,451,520/198,941,330
  6. Step 6: Final answer
    x = 921,292,224.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.