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Finding the Third Proportional to 167,198,332 and 258,252,570

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Solution

The third proportional to 167,198,332 and 258,252,570 is: 398,893,871.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,198,332 : 258,252,570 = 258,252,570 : x
  2. Step 2: Convert to fraction form
    167,198,332/258,252,570 = 258,252,570/x
  3. Step 3: Cross multiply
    167,198,332x = 258,252,570 × 258,252,570
  4. Step 4: Simplify right side
    167,198,332x = 66,694,389,911,604,896
  5. Step 5: Solve for x
    x = 66,694,389,911,604,896/167,198,332
  6. Step 6: Final answer
    x = 398,893,871.21

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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.