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Finding the Third Proportional to 41,900 and 91,864

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Solution

The third proportional to 41,900 and 91,864 is: 201,407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,900 : 91,864 = 91,864 : x
  2. Step 2: Convert to fraction form
    41,900/91,864 = 91,864/x
  3. Step 3: Cross multiply
    41,900x = 91,864 × 91,864
  4. Step 4: Simplify right side
    41,900x = 8,438,994,496
  5. Step 5: Solve for x
    x = 8,438,994,496/41,900
  6. Step 6: Final answer
    x = 201,407.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.