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Finding the Third Proportional to 49,597,920 and 105,096,096

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Solution

The third proportional to 49,597,920 and 105,096,096 is: 222,694,608.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,597,920 : 105,096,096 = 105,096,096 : x
  2. Step 2: Convert to fraction form
    49,597,920/105,096,096 = 105,096,096/x
  3. Step 3: Cross multiply
    49,597,920x = 105,096,096 × 105,096,096
  4. Step 4: Simplify right side
    49,597,920x = 11,045,189,394,441,216
  5. Step 5: Solve for x
    x = 11,045,189,394,441,216/49,597,920
  6. Step 6: Final answer
    x = 222,694,608.86

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.