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Finding the Third Proportional to 41,908 and 91,304

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Solution

The third proportional to 41,908 and 91,304 is: 198,921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,908 : 91,304 = 91,304 : x
  2. Step 2: Convert to fraction form
    41,908/91,304 = 91,304/x
  3. Step 3: Cross multiply
    41,908x = 91,304 × 91,304
  4. Step 4: Simplify right side
    41,908x = 8,336,420,416
  5. Step 5: Solve for x
    x = 8,336,420,416/41,908
  6. Step 6: Final answer
    x = 198,921.93

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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.