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Finding the Third Proportional to 96,599 and 203,686

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Solution

The third proportional to 96,599 and 203,686 is: 429,486.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,599 : 203,686 = 203,686 : x
  2. Step 2: Convert to fraction form
    96,599/203,686 = 203,686/x
  3. Step 3: Cross multiply
    96,599x = 203,686 × 203,686
  4. Step 4: Simplify right side
    96,599x = 41,487,986,596
  5. Step 5: Solve for x
    x = 41,487,986,596/96,599
  6. Step 6: Final answer
    x = 429,486.71

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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.