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Finding the Third Proportional to 140,394,708 and 313,052,418

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Solution

The third proportional to 140,394,708 and 313,052,418 is: 698,044,946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,394,708 : 313,052,418 = 313,052,418 : x
  2. Step 2: Convert to fraction form
    140,394,708/313,052,418 = 313,052,418/x
  3. Step 3: Cross multiply
    140,394,708x = 313,052,418 × 313,052,418
  4. Step 4: Simplify right side
    140,394,708x = 98,001,816,415,646,720
  5. Step 5: Solve for x
    x = 98,001,816,415,646,720/140,394,708
  6. Step 6: Final answer
    x = 698,044,946.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.