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Finding the Third Proportional to 49,408,059 and 107,321,540

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Solution

The third proportional to 49,408,059 and 107,321,540 is: 233,118,102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,408,059 : 107,321,540 = 107,321,540 : x
  2. Step 2: Convert to fraction form
    49,408,059/107,321,540 = 107,321,540/x
  3. Step 3: Cross multiply
    49,408,059x = 107,321,540 × 107,321,540
  4. Step 4: Simplify right side
    49,408,059x = 11,517,912,947,971,600
  5. Step 5: Solve for x
    x = 11,517,912,947,971,600/49,408,059
  6. Step 6: Final answer
    x = 233,118,102.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.