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Finding the Third Proportional to 111,848,696 and 239,242,100

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Solution

The third proportional to 111,848,696 and 239,242,100 is: 511,734,016.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,848,696 : 239,242,100 = 239,242,100 : x
  2. Step 2: Convert to fraction form
    111,848,696/239,242,100 = 239,242,100/x
  3. Step 3: Cross multiply
    111,848,696x = 239,242,100 × 239,242,100
  4. Step 4: Simplify right side
    111,848,696x = 57,236,782,412,410,000
  5. Step 5: Solve for x
    x = 57,236,782,412,410,000/111,848,696
  6. Step 6: Final answer
    x = 511,734,016.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.