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Finding the Third Proportional to 69,269,589 and 150,595,920

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Solution

The third proportional to 69,269,589 and 150,595,920 is: 327,403,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,269,589 : 150,595,920 = 150,595,920 : x
  2. Step 2: Convert to fraction form
    69,269,589/150,595,920 = 150,595,920/x
  3. Step 3: Cross multiply
    69,269,589x = 150,595,920 × 150,595,920
  4. Step 4: Simplify right side
    69,269,589x = 22,679,131,120,646,400
  5. Step 5: Solve for x
    x = 22,679,131,120,646,400/69,269,589
  6. Step 6: Final answer
    x = 327,403,864.35

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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.