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Finding the Third Proportional to 47,192,194 and 111,245,125

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Solution

The third proportional to 47,192,194 and 111,245,125 is: 262,235,695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,192,194 : 111,245,125 = 111,245,125 : x
  2. Step 2: Convert to fraction form
    47,192,194/111,245,125 = 111,245,125/x
  3. Step 3: Cross multiply
    47,192,194x = 111,245,125 × 111,245,125
  4. Step 4: Simplify right side
    47,192,194x = 12,375,477,836,265,624
  5. Step 5: Solve for x
    x = 12,375,477,836,265,624/47,192,194
  6. Step 6: Final answer
    x = 262,235,695.93

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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.