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Finding the Third Proportional to 148,751,093 and 321,403,909

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Solution

The third proportional to 148,751,093 and 321,403,909 is: 694,451,856.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,751,093 : 321,403,909 = 321,403,909 : x
  2. Step 2: Convert to fraction form
    148,751,093/321,403,909 = 321,403,909/x
  3. Step 3: Cross multiply
    148,751,093x = 321,403,909 × 321,403,909
  4. Step 4: Simplify right side
    148,751,093x = 103,300,472,720,480,288
  5. Step 5: Solve for x
    x = 103,300,472,720,480,288/148,751,093
  6. Step 6: Final answer
    x = 694,451,856.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.