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Finding the Third Proportional to 96,399,564 and 146,858,112

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Solution

The third proportional to 96,399,564 and 146,858,112 is: 223,728,242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,399,564 : 146,858,112 = 146,858,112 : x
  2. Step 2: Convert to fraction form
    96,399,564/146,858,112 = 146,858,112/x
  3. Step 3: Cross multiply
    96,399,564x = 146,858,112 × 146,858,112
  4. Step 4: Simplify right side
    96,399,564x = 21,567,305,060,204,544
  5. Step 5: Solve for x
    x = 21,567,305,060,204,544/96,399,564
  6. Step 6: Final answer
    x = 223,728,242.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.