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Finding the Third Proportional to 97,961.25 and 200,073

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Solution

The third proportional to 97,961.25 and 200,073 is: 408,622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,961.25 : 200,073 = 200,073 : x
  2. Step 2: Convert to fraction form
    97,961.25/200,073 = 200,073/x
  3. Step 3: Cross multiply
    97,961.25x = 200,073 × 200,073
  4. Step 4: Simplify right side
    97,961.25x = 40,029,205,329
  5. Step 5: Solve for x
    x = 40,029,205,329/97,961.25
  6. Step 6: Final answer
    x = 408,622.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.