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Finding the Third Proportional to 148,224,180 and 321,964,626

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Solution

The third proportional to 148,224,180 and 321,964,626 is: 699,354,318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,224,180 : 321,964,626 = 321,964,626 : x
  2. Step 2: Convert to fraction form
    148,224,180/321,964,626 = 321,964,626/x
  3. Step 3: Cross multiply
    148,224,180x = 321,964,626 × 321,964,626
  4. Step 4: Simplify right side
    148,224,180x = 103,661,220,395,319,872
  5. Step 5: Solve for x
    x = 103,661,220,395,319,872/148,224,180
  6. Step 6: Final answer
    x = 699,354,318.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.