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Finding the Third Proportional to 96,606 and 203,700

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Solution

The third proportional to 96,606 and 203,700 is: 429,514.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,606 : 203,700 = 203,700 : x
  2. Step 2: Convert to fraction form
    96,606/203,700 = 203,700/x
  3. Step 3: Cross multiply
    96,606x = 203,700 × 203,700
  4. Step 4: Simplify right side
    96,606x = 41,493,690,000
  5. Step 5: Solve for x
    x = 41,493,690,000/96,606
  6. Step 6: Final answer
    x = 429,514.63

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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.