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Finding the Third Proportional to 47,192,220.75 and 111,245,187

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Solution

The third proportional to 47,192,220.75 and 111,245,187 is: 262,235,839.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,192,220.75 : 111,245,187 = 111,245,187 : x
  2. Step 2: Convert to fraction form
    47,192,220.75/111,245,187 = 111,245,187/x
  3. Step 3: Cross multiply
    47,192,220.75x = 111,245,187 × 111,245,187
  4. Step 4: Simplify right side
    47,192,220.75x = 12,375,491,630,664,968
  5. Step 5: Solve for x
    x = 12,375,491,630,664,968/47,192,220.75
  6. Step 6: Final answer
    x = 262,235,839.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.