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Finding the Third Proportional to 80,257,542 and 122,264,073

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Solution

The third proportional to 80,257,542 and 122,264,073 is: 186,256,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,257,542 : 122,264,073 = 122,264,073 : x
  2. Step 2: Convert to fraction form
    80,257,542/122,264,073 = 122,264,073/x
  3. Step 3: Cross multiply
    80,257,542x = 122,264,073 × 122,264,073
  4. Step 4: Simplify right side
    80,257,542x = 14,948,503,546,549,328
  5. Step 5: Solve for x
    x = 14,948,503,546,549,328/80,257,542
  6. Step 6: Final answer
    x = 186,256,682.85

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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.