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Finding the Third Proportional to 159,887,756,257.50 and 355,524,132,793.50

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Solution

The third proportional to 159,887,756,257.50 and 355,524,132,793.50 is: 790,538,387,411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,887,756,257.50 : 355,524,132,793.50 = 355,524,132,793.50 : x
  2. Step 2: Convert to fraction form
    159,887,756,257.50/355,524,132,793.50 = 355,524,132,793.50/x
  3. Step 3: Cross multiply
    159,887,756,257.50x = 355,524,132,793.50 × 355,524,132,793.50
  4. Step 4: Simplify right side
    159,887,756,257.50x = 126,397,408,998,570,229,497,856
  5. Step 5: Solve for x
    x = 126,397,408,998,570,229,497,856/159,887,756,257.50
  6. Step 6: Final answer
    x = 790,538,387,411.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.