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Finding the Third Proportional to 167,198,488 and 258,252,864

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Solution

The third proportional to 167,198,488 and 258,252,864 is: 398,894,407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,198,488 : 258,252,864 = 258,252,864 : x
  2. Step 2: Convert to fraction form
    167,198,488/258,252,864 = 258,252,864/x
  3. Step 3: Cross multiply
    167,198,488x = 258,252,864 × 258,252,864
  4. Step 4: Simplify right side
    167,198,488x = 66,694,541,764,202,496
  5. Step 5: Solve for x
    x = 66,694,541,764,202,496/167,198,488
  6. Step 6: Final answer
    x = 398,894,407.25

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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.