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Finding the Third Proportional to 95,796 and 203,706

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Solution

The third proportional to 95,796 and 203,706 is: 433,171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,796 : 203,706 = 203,706 : x
  2. Step 2: Convert to fraction form
    95,796/203,706 = 203,706/x
  3. Step 3: Cross multiply
    95,796x = 203,706 × 203,706
  4. Step 4: Simplify right side
    95,796x = 41,496,134,436
  5. Step 5: Solve for x
    x = 41,496,134,436/95,796
  6. Step 6: Final answer
    x = 433,171.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.