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Finding the Third Proportional to 167,198,486 and 258,252,861

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Solution

The third proportional to 167,198,486 and 258,252,861 is: 398,894,402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,198,486 : 258,252,861 = 258,252,861 : x
  2. Step 2: Convert to fraction form
    167,198,486/258,252,861 = 258,252,861/x
  3. Step 3: Cross multiply
    167,198,486x = 258,252,861 × 258,252,861
  4. Step 4: Simplify right side
    167,198,486x = 66,694,540,214,685,320
  5. Step 5: Solve for x
    x = 66,694,540,214,685,320/167,198,486
  6. Step 6: Final answer
    x = 398,894,402.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.