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Finding the Third Proportional to 148,224,179 and 321,964,624

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Solution

The third proportional to 148,224,179 and 321,964,624 is: 699,354,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,224,179 : 321,964,624 = 321,964,624 : x
  2. Step 2: Convert to fraction form
    148,224,179/321,964,624 = 321,964,624/x
  3. Step 3: Cross multiply
    148,224,179x = 321,964,624 × 321,964,624
  4. Step 4: Simplify right side
    148,224,179x = 103,661,219,107,461,376
  5. Step 5: Solve for x
    x = 103,661,219,107,461,376/148,224,179
  6. Step 6: Final answer
    x = 699,354,314.57

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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.