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Finding the Third Proportional to 51,439,842 and 110,956,149

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Solution

The third proportional to 51,439,842 and 110,956,149 is: 239,333,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,439,842 : 110,956,149 = 110,956,149 : x
  2. Step 2: Convert to fraction form
    51,439,842/110,956,149 = 110,956,149/x
  3. Step 3: Cross multiply
    51,439,842x = 110,956,149 × 110,956,149
  4. Step 4: Simplify right side
    51,439,842x = 12,311,267,000,910,200
  5. Step 5: Solve for x
    x = 12,311,267,000,910,200/51,439,842
  6. Step 6: Final answer
    x = 239,333,297.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.