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Finding the Third Proportional to 95,383 and 203,806

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Solution

The third proportional to 95,383 and 203,806 is: 435,474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,383 : 203,806 = 203,806 : x
  2. Step 2: Convert to fraction form
    95,383/203,806 = 203,806/x
  3. Step 3: Cross multiply
    95,383x = 203,806 × 203,806
  4. Step 4: Simplify right side
    95,383x = 41,536,885,636
  5. Step 5: Solve for x
    x = 41,536,885,636/95,383
  6. Step 6: Final answer
    x = 435,474.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.