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Finding the Third Proportional to 148,224,177 and 321,964,620

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Solution

The third proportional to 148,224,177 and 321,964,620 is: 699,354,306.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,224,177 : 321,964,620 = 321,964,620 : x
  2. Step 2: Convert to fraction form
    148,224,177/321,964,620 = 321,964,620/x
  3. Step 3: Cross multiply
    148,224,177x = 321,964,620 × 321,964,620
  4. Step 4: Simplify right side
    148,224,177x = 103,661,216,531,744,400
  5. Step 5: Solve for x
    x = 103,661,216,531,744,400/148,224,177
  6. Step 6: Final answer
    x = 699,354,306.63

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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.