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Finding the Third Proportional to 120,177,600 and 259,512,672

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Solution

The third proportional to 120,177,600 and 259,512,672 is: 560,394,174.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,177,600 : 259,512,672 = 259,512,672 : x
  2. Step 2: Convert to fraction form
    120,177,600/259,512,672 = 259,512,672/x
  3. Step 3: Cross multiply
    120,177,600x = 259,512,672 × 259,512,672
  4. Step 4: Simplify right side
    120,177,600x = 67,346,826,928,579,584
  5. Step 5: Solve for x
    x = 67,346,826,928,579,584/120,177,600
  6. Step 6: Final answer
    x = 560,394,174.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.