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Finding the Third Proportional to 198,972,786 and 428,178,660

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Solution

The third proportional to 198,972,786 and 428,178,660 is: 921,417,288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,972,786 : 428,178,660 = 428,178,660 : x
  2. Step 2: Convert to fraction form
    198,972,786/428,178,660 = 428,178,660/x
  3. Step 3: Cross multiply
    198,972,786x = 428,178,660 × 428,178,660
  4. Step 4: Simplify right side
    198,972,786x = 183,336,964,879,395,584
  5. Step 5: Solve for x
    x = 183,336,964,879,395,584/198,972,786
  6. Step 6: Final answer
    x = 921,417,288.09

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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.