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Finding the Third Proportional to 88,171 and 208,103

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Solution

The third proportional to 88,171 and 208,103 is: 491,168.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,171 : 208,103 = 208,103 : x
  2. Step 2: Convert to fraction form
    88,171/208,103 = 208,103/x
  3. Step 3: Cross multiply
    88,171x = 208,103 × 208,103
  4. Step 4: Simplify right side
    88,171x = 43,306,858,609
  5. Step 5: Solve for x
    x = 43,306,858,609/88,171
  6. Step 6: Final answer
    x = 491,168.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.