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Finding the Third Proportional to 95,177 and 203,836

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Solution

The third proportional to 95,177 and 203,836 is: 436,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,177 : 203,836 = 203,836 : x
  2. Step 2: Convert to fraction form
    95,177/203,836 = 203,836/x
  3. Step 3: Cross multiply
    95,177x = 203,836 × 203,836
  4. Step 4: Simplify right side
    95,177x = 41,549,114,896
  5. Step 5: Solve for x
    x = 41,549,114,896/95,177
  6. Step 6: Final answer
    x = 436,545.75

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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.