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Finding the Third Proportional to 95,270 and 203,194

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Solution

The third proportional to 95,270 and 203,194 is: 433,376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,270 : 203,194 = 203,194 : x
  2. Step 2: Convert to fraction form
    95,270/203,194 = 203,194/x
  3. Step 3: Cross multiply
    95,270x = 203,194 × 203,194
  4. Step 4: Simplify right side
    95,270x = 41,287,801,636
  5. Step 5: Solve for x
    x = 41,287,801,636/95,270
  6. Step 6: Final answer
    x = 433,376.74

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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.