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Finding the Third Proportional to 83,196,538 and 185,511,836

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Solution

The third proportional to 83,196,538 and 185,511,836 is: 413,654,727.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,196,538 : 185,511,836 = 185,511,836 : x
  2. Step 2: Convert to fraction form
    83,196,538/185,511,836 = 185,511,836/x
  3. Step 3: Cross multiply
    83,196,538x = 185,511,836 × 185,511,836
  4. Step 4: Simplify right side
    83,196,538x = 34,414,641,296,090,896
  5. Step 5: Solve for x
    x = 34,414,641,296,090,896/83,196,538
  6. Step 6: Final answer
    x = 413,654,727.99

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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.