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Finding the Third Proportional to 135,852,769 and 298,394,182

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Solution

The third proportional to 135,852,769 and 298,394,182 is: 655,408,708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,852,769 : 298,394,182 = 298,394,182 : x
  2. Step 2: Convert to fraction form
    135,852,769/298,394,182 = 298,394,182/x
  3. Step 3: Cross multiply
    135,852,769x = 298,394,182 × 298,394,182
  4. Step 4: Simplify right side
    135,852,769x = 89,039,087,851,449,120
  5. Step 5: Solve for x
    x = 89,039,087,851,449,120/135,852,769
  6. Step 6: Final answer
    x = 655,408,708.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.