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Finding the Third Proportional to 41,800 and 91,216

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Solution

The third proportional to 41,800 and 91,216 is: 199,051.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,800 : 91,216 = 91,216 : x
  2. Step 2: Convert to fraction form
    41,800/91,216 = 91,216/x
  3. Step 3: Cross multiply
    41,800x = 91,216 × 91,216
  4. Step 4: Simplify right side
    41,800x = 8,320,358,656
  5. Step 5: Solve for x
    x = 8,320,358,656/41,800
  6. Step 6: Final answer
    x = 199,051.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.