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Finding the Third Proportional to 51,040,769.50 and 112,001,744

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Solution

The third proportional to 51,040,769.50 and 112,001,744 is: 245,771,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,040,769.50 : 112,001,744 = 112,001,744 : x
  2. Step 2: Convert to fraction form
    51,040,769.50/112,001,744 = 112,001,744/x
  3. Step 3: Cross multiply
    51,040,769.50x = 112,001,744 × 112,001,744
  4. Step 4: Simplify right side
    51,040,769.50x = 12,544,390,659,041,536
  5. Step 5: Solve for x
    x = 12,544,390,659,041,536/51,040,769.50
  6. Step 6: Final answer
    x = 245,771,973.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.