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Finding the Third Proportional to 120,157,770 and 246,685,408

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Solution

The third proportional to 120,157,770 and 246,685,408 is: 506,448,234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,157,770 : 246,685,408 = 246,685,408 : x
  2. Step 2: Convert to fraction form
    120,157,770/246,685,408 = 246,685,408/x
  3. Step 3: Cross multiply
    120,157,770x = 246,685,408 × 246,685,408
  4. Step 4: Simplify right side
    120,157,770x = 60,853,690,520,126,464
  5. Step 5: Solve for x
    x = 60,853,690,520,126,464/120,157,770
  6. Step 6: Final answer
    x = 506,448,234.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.