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Finding the Third Proportional to 97,202 and 208,876

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Solution

The third proportional to 97,202 and 208,876 is: 448,850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,202 : 208,876 = 208,876 : x
  2. Step 2: Convert to fraction form
    97,202/208,876 = 208,876/x
  3. Step 3: Cross multiply
    97,202x = 208,876 × 208,876
  4. Step 4: Simplify right side
    97,202x = 43,629,183,376
  5. Step 5: Solve for x
    x = 43,629,183,376/97,202
  6. Step 6: Final answer
    x = 448,850.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.