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Finding the Third Proportional to 111,375,828 and 239,203,728

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Solution

The third proportional to 111,375,828 and 239,203,728 is: 513,741,846.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,375,828 : 239,203,728 = 239,203,728 : x
  2. Step 2: Convert to fraction form
    111,375,828/239,203,728 = 239,203,728/x
  3. Step 3: Cross multiply
    111,375,828x = 239,203,728 × 239,203,728
  4. Step 4: Simplify right side
    111,375,828x = 57,218,423,489,097,984
  5. Step 5: Solve for x
    x = 57,218,423,489,097,984/111,375,828
  6. Step 6: Final answer
    x = 513,741,846.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.