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Finding the Third Proportional to 95,096 and 204,232

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Solution

The third proportional to 95,096 and 204,232 is: 438,616.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,096 : 204,232 = 204,232 : x
  2. Step 2: Convert to fraction form
    95,096/204,232 = 204,232/x
  3. Step 3: Cross multiply
    95,096x = 204,232 × 204,232
  4. Step 4: Simplify right side
    95,096x = 41,710,709,824
  5. Step 5: Solve for x
    x = 41,710,709,824/95,096
  6. Step 6: Final answer
    x = 438,616.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.