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Finding the Third Proportional to 95,630 and 202,204

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Solution

The third proportional to 95,630 and 202,204 is: 427,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,630 : 202,204 = 202,204 : x
  2. Step 2: Convert to fraction form
    95,630/202,204 = 202,204/x
  3. Step 3: Cross multiply
    95,630x = 202,204 × 202,204
  4. Step 4: Simplify right side
    95,630x = 40,886,457,616
  5. Step 5: Solve for x
    x = 40,886,457,616/95,630
  6. Step 6: Final answer
    x = 427,548.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.