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Finding the Third Proportional to 159,425,856 and 331,575,512

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Solution

The third proportional to 159,425,856 and 331,575,512 is: 689,614,112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,425,856 : 331,575,512 = 331,575,512 : x
  2. Step 2: Convert to fraction form
    159,425,856/331,575,512 = 331,575,512/x
  3. Step 3: Cross multiply
    159,425,856x = 331,575,512 × 331,575,512
  4. Step 4: Simplify right side
    159,425,856x = 109,942,320,158,062,144
  5. Step 5: Solve for x
    x = 109,942,320,158,062,144/159,425,856
  6. Step 6: Final answer
    x = 689,614,112.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.