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Finding the Third Proportional to 54,753,772 and 120,215,096

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Solution

The third proportional to 54,753,772 and 120,215,096 is: 263,939,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,753,772 : 120,215,096 = 120,215,096 : x
  2. Step 2: Convert to fraction form
    54,753,772/120,215,096 = 120,215,096/x
  3. Step 3: Cross multiply
    54,753,772x = 120,215,096 × 120,215,096
  4. Step 4: Simplify right side
    54,753,772x = 14,451,669,306,289,216
  5. Step 5: Solve for x
    x = 14,451,669,306,289,216/54,753,772
  6. Step 6: Final answer
    x = 263,939,246.16

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Why These Related Problems?

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