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Finding the Third Proportional to 99,163 and 203,606

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Solution

The third proportional to 99,163 and 203,606 is: 418,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,163 : 203,606 = 203,606 : x
  2. Step 2: Convert to fraction form
    99,163/203,606 = 203,606/x
  3. Step 3: Cross multiply
    99,163x = 203,606 × 203,606
  4. Step 4: Simplify right side
    99,163x = 41,455,403,236
  5. Step 5: Solve for x
    x = 41,455,403,236/99,163
  6. Step 6: Final answer
    x = 418,053.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.