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Finding the Third Proportional to 174,661,834 and 262,120,624

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Solution

The third proportional to 174,661,834 and 262,120,624 is: 393,372,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,661,834 : 262,120,624 = 262,120,624 : x
  2. Step 2: Convert to fraction form
    174,661,834/262,120,624 = 262,120,624/x
  3. Step 3: Cross multiply
    174,661,834x = 262,120,624 × 262,120,624
  4. Step 4: Simplify right side
    174,661,834x = 68,707,221,526,149,376
  5. Step 5: Solve for x
    x = 68,707,221,526,149,376/174,661,834
  6. Step 6: Final answer
    x = 393,372,839.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.