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Finding the Third Proportional to 147,195,267 and 321,126,593

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Solution

The third proportional to 147,195,267 and 321,126,593 is: 700,581,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,195,267 : 321,126,593 = 321,126,593 : x
  2. Step 2: Convert to fraction form
    147,195,267/321,126,593 = 321,126,593/x
  3. Step 3: Cross multiply
    147,195,267x = 321,126,593 × 321,126,593
  4. Step 4: Simplify right side
    147,195,267x = 103,122,288,731,787,648
  5. Step 5: Solve for x
    x = 103,122,288,731,787,648/147,195,267
  6. Step 6: Final answer
    x = 700,581,552.88

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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.