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Finding the Third Proportional to 109.88 and 191.56

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Solution

The third proportional to 109.88 and 191.56 is: 333.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.88 : 191.56 = 191.56 : x
  2. Step 2: Convert to fraction form
    109.88/191.56 = 191.56/x
  3. Step 3: Cross multiply
    109.88x = 191.56 × 191.56
  4. Step 4: Simplify right side
    109.88x = 36,696.19
  5. Step 5: Solve for x
    x = 36,696.19/109.88
  6. Step 6: Final answer
    x = 333.98

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.