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Finding the Third Proportional to 54,753,768 and 120,215,088

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Solution

The third proportional to 54,753,768 and 120,215,088 is: 263,939,230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,753,768 : 120,215,088 = 120,215,088 : x
  2. Step 2: Convert to fraction form
    54,753,768/120,215,088 = 120,215,088/x
  3. Step 3: Cross multiply
    54,753,768x = 120,215,088 × 120,215,088
  4. Step 4: Simplify right side
    54,753,768x = 14,451,667,382,847,744
  5. Step 5: Solve for x
    x = 14,451,667,382,847,744/54,753,768
  6. Step 6: Final answer
    x = 263,939,230.32

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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.