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Finding the Third Proportional to 156,753,266 and 219,245,594

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Solution

The third proportional to 156,753,266 and 219,245,594 is: 306,651,540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,753,266 : 219,245,594 = 219,245,594 : x
  2. Step 2: Convert to fraction form
    156,753,266/219,245,594 = 219,245,594/x
  3. Step 3: Cross multiply
    156,753,266x = 219,245,594 × 219,245,594
  4. Step 4: Simplify right side
    156,753,266x = 48,068,630,488,412,832
  5. Step 5: Solve for x
    x = 48,068,630,488,412,832/156,753,266
  6. Step 6: Final answer
    x = 306,651,540.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.