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Finding the Third Proportional to 146,982,548 and 320,860,822

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Solution

The third proportional to 146,982,548 and 320,860,822 is: 700,434,633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,982,548 : 320,860,822 = 320,860,822 : x
  2. Step 2: Convert to fraction form
    146,982,548/320,860,822 = 320,860,822/x
  3. Step 3: Cross multiply
    146,982,548x = 320,860,822 × 320,860,822
  4. Step 4: Simplify right side
    146,982,548x = 102,951,667,094,515,680
  5. Step 5: Solve for x
    x = 102,951,667,094,515,680/146,982,548
  6. Step 6: Final answer
    x = 700,434,633.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.