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Finding the Third Proportional to 167,198,634 and 258,253,047

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Solution

The third proportional to 167,198,634 and 258,253,047 is: 398,894,624.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,198,634 : 258,253,047 = 258,253,047 : x
  2. Step 2: Convert to fraction form
    167,198,634/258,253,047 = 258,253,047/x
  3. Step 3: Cross multiply
    167,198,634x = 258,253,047 × 258,253,047
  4. Step 4: Simplify right side
    167,198,634x = 66,694,636,284,784,208
  5. Step 5: Solve for x
    x = 66,694,636,284,784,208/167,198,634
  6. Step 6: Final answer
    x = 398,894,624.25

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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.