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Finding the Third Proportional to 67,451,197 and 145,132,613

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Solution

The third proportional to 67,451,197 and 145,132,613 is: 312,277,265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,451,197 : 145,132,613 = 145,132,613 : x
  2. Step 2: Convert to fraction form
    67,451,197/145,132,613 = 145,132,613/x
  3. Step 3: Cross multiply
    67,451,197x = 145,132,613 × 145,132,613
  4. Step 4: Simplify right side
    67,451,197x = 21,063,475,356,207,768
  5. Step 5: Solve for x
    x = 21,063,475,356,207,768/67,451,197
  6. Step 6: Final answer
    x = 312,277,265.53

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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.