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Finding the Third Proportional to 83,198,186 and 185,515,108

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Solution

The third proportional to 83,198,186 and 185,515,108 is: 413,661,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,198,186 : 185,515,108 = 185,515,108 : x
  2. Step 2: Convert to fraction form
    83,198,186/185,515,108 = 185,515,108/x
  3. Step 3: Cross multiply
    83,198,186x = 185,515,108 × 185,515,108
  4. Step 4: Simplify right side
    83,198,186x = 34,415,855,296,251,664
  5. Step 5: Solve for x
    x = 34,415,855,296,251,664/83,198,186
  6. Step 6: Final answer
    x = 413,661,125.93

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.