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Finding the Third Proportional to 110,902,848 and 247,305,888

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Solution

The third proportional to 110,902,848 and 247,305,888 is: 551,475,488.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,902,848 : 247,305,888 = 247,305,888 : x
  2. Step 2: Convert to fraction form
    110,902,848/247,305,888 = 247,305,888/x
  3. Step 3: Cross multiply
    110,902,848x = 247,305,888 × 247,305,888
  4. Step 4: Simplify right side
    110,902,848x = 61,160,202,239,468,544
  5. Step 5: Solve for x
    x = 61,160,202,239,468,544/110,902,848
  6. Step 6: Final answer
    x = 551,475,488.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.