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Finding the Third Proportional to 69,269,591 and 150,595,924

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Solution

The third proportional to 69,269,591 and 150,595,924 is: 327,403,872.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,269,591 : 150,595,924 = 150,595,924 : x
  2. Step 2: Convert to fraction form
    69,269,591/150,595,924 = 150,595,924/x
  3. Step 3: Cross multiply
    69,269,591x = 150,595,924 × 150,595,924
  4. Step 4: Simplify right side
    69,269,591x = 22,679,132,325,413,776
  5. Step 5: Solve for x
    x = 22,679,132,325,413,776/69,269,591
  6. Step 6: Final answer
    x = 327,403,872.29

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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.