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Finding the Third Proportional to 99,016 and 206,192

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Solution

The third proportional to 99,016 and 206,192 is: 429,376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,016 : 206,192 = 206,192 : x
  2. Step 2: Convert to fraction form
    99,016/206,192 = 206,192/x
  3. Step 3: Cross multiply
    99,016x = 206,192 × 206,192
  4. Step 4: Simplify right side
    99,016x = 42,515,140,864
  5. Step 5: Solve for x
    x = 42,515,140,864/99,016
  6. Step 6: Final answer
    x = 429,376.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.