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Finding the Third Proportional to 78,179,296 and 169,972,667

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Solution

The third proportional to 78,179,296 and 169,972,667 is: 369,544,227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,179,296 : 169,972,667 = 169,972,667 : x
  2. Step 2: Convert to fraction form
    78,179,296/169,972,667 = 169,972,667/x
  3. Step 3: Cross multiply
    78,179,296x = 169,972,667 × 169,972,667
  4. Step 4: Simplify right side
    78,179,296x = 28,890,707,527,092,888
  5. Step 5: Solve for x
    x = 28,890,707,527,092,888/78,179,296
  6. Step 6: Final answer
    x = 369,544,227.25

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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.