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Finding the Third Proportional to 111,517,204 and 241,565,102

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Solution

The third proportional to 111,517,204 and 241,565,102 is: 523,270,817.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,517,204 : 241,565,102 = 241,565,102 : x
  2. Step 2: Convert to fraction form
    111,517,204/241,565,102 = 241,565,102/x
  3. Step 3: Cross multiply
    111,517,204x = 241,565,102 × 241,565,102
  4. Step 4: Simplify right side
    111,517,204x = 58,353,698,504,270,400
  5. Step 5: Solve for x
    x = 58,353,698,504,270,400/111,517,204
  6. Step 6: Final answer
    x = 523,270,817.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.