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Finding the Third Proportional to 70,670,872 and 106,081,096

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Solution

The third proportional to 70,670,872 and 106,081,096 is: 159,233,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,670,872 : 106,081,096 = 106,081,096 : x
  2. Step 2: Convert to fraction form
    70,670,872/106,081,096 = 106,081,096/x
  3. Step 3: Cross multiply
    70,670,872x = 106,081,096 × 106,081,096
  4. Step 4: Simplify right side
    70,670,872x = 11,253,198,928,561,216
  5. Step 5: Solve for x
    x = 11,253,198,928,561,216/70,670,872
  6. Step 6: Final answer
    x = 159,233,905.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.