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Finding the Third Proportional to 67,451,193 and 145,132,605

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Solution

The third proportional to 67,451,193 and 145,132,605 is: 312,277,249.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,451,193 : 145,132,605 = 145,132,605 : x
  2. Step 2: Convert to fraction form
    67,451,193/145,132,605 = 145,132,605/x
  3. Step 3: Cross multiply
    67,451,193x = 145,132,605 × 145,132,605
  4. Step 4: Simplify right side
    67,451,193x = 21,063,473,034,086,024
  5. Step 5: Solve for x
    x = 21,063,473,034,086,024/67,451,193
  6. Step 6: Final answer
    x = 312,277,249.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.