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Finding the Third Proportional to 198,972,893 and 428,178,874

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Solution

The third proportional to 198,972,893 and 428,178,874 is: 921,417,713.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,972,893 : 428,178,874 = 428,178,874 : x
  2. Step 2: Convert to fraction form
    198,972,893/428,178,874 = 428,178,874/x
  3. Step 3: Cross multiply
    198,972,893x = 428,178,874 × 428,178,874
  4. Step 4: Simplify right side
    198,972,893x = 183,337,148,139,907,872
  5. Step 5: Solve for x
    x = 183,337,148,139,907,872/198,972,893
  6. Step 6: Final answer
    x = 921,417,713.62

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Why These Related Problems?

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