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Finding the Third Proportional to 140,394,710 and 313,052,422

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Solution

The third proportional to 140,394,710 and 313,052,422 is: 698,044,954.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,394,710 : 313,052,422 = 313,052,422 : x
  2. Step 2: Convert to fraction form
    140,394,710/313,052,422 = 313,052,422/x
  3. Step 3: Cross multiply
    140,394,710x = 313,052,422 × 313,052,422
  4. Step 4: Simplify right side
    140,394,710x = 98,001,818,920,066,080
  5. Step 5: Solve for x
    x = 98,001,818,920,066,080/140,394,710
  6. Step 6: Final answer
    x = 698,044,954.26

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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.