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Finding the Third Proportional to 94,847 and 203,147

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Solution

The third proportional to 94,847 and 203,147 is: 435,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,847 : 203,147 = 203,147 : x
  2. Step 2: Convert to fraction form
    94,847/203,147 = 203,147/x
  3. Step 3: Cross multiply
    94,847x = 203,147 × 203,147
  4. Step 4: Simplify right side
    94,847x = 41,268,703,609
  5. Step 5: Solve for x
    x = 41,268,703,609/94,847
  6. Step 6: Final answer
    x = 435,108.16

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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.