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Finding the Third Proportional to 51,192,504 and 111,962,319.75

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Solution

The third proportional to 51,192,504 and 111,962,319.75 is: 244,871,027.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,192,504 : 111,962,319.75 = 111,962,319.75 : x
  2. Step 2: Convert to fraction form
    51,192,504/111,962,319.75 = 111,962,319.75/x
  3. Step 3: Cross multiply
    51,192,504x = 111,962,319.75 × 111,962,319.75
  4. Step 4: Simplify right side
    51,192,504x = 12,535,561,043,801,240
  5. Step 5: Solve for x
    x = 12,535,561,043,801,240/51,192,504
  6. Step 6: Final answer
    x = 244,871,027.29

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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.