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Finding the Third Proportional to 90.31 and 191.88

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Solution

The third proportional to 90.31 and 191.88 is: 407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.31 : 191.88 = 191.88 : x
  2. Step 2: Convert to fraction form
    90.31/191.88 = 191.88/x
  3. Step 3: Cross multiply
    90.31x = 191.88 × 191.88
  4. Step 4: Simplify right side
    90.31x = 36,816.02
  5. Step 5: Solve for x
    x = 36,816.02/90.31
  6. Step 6: Final answer
    x = 407.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.