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Finding the Third Proportional to 51,659,344 and 113,394,848

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Solution

The third proportional to 51,659,344 and 113,394,848 is: 248,907,371.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,659,344 : 113,394,848 = 113,394,848 : x
  2. Step 2: Convert to fraction form
    51,659,344/113,394,848 = 113,394,848/x
  3. Step 3: Cross multiply
    51,659,344x = 113,394,848 × 113,394,848
  4. Step 4: Simplify right side
    51,659,344x = 12,858,391,552,943,104
  5. Step 5: Solve for x
    x = 12,858,391,552,943,104/51,659,344
  6. Step 6: Final answer
    x = 248,907,371.97

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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.