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Finding the Third Proportional to 83,515,212 and 127,768,950

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Solution

The third proportional to 83,515,212 and 127,768,950 is: 195,472,228.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,515,212 : 127,768,950 = 127,768,950 : x
  2. Step 2: Convert to fraction form
    83,515,212/127,768,950 = 127,768,950/x
  3. Step 3: Cross multiply
    83,515,212x = 127,768,950 × 127,768,950
  4. Step 4: Simplify right side
    83,515,212x = 16,324,904,584,102,500
  5. Step 5: Solve for x
    x = 16,324,904,584,102,500/83,515,212
  6. Step 6: Final answer
    x = 195,472,228.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.