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Finding the Third Proportional to 108.91 and 192.02

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Solution

The third proportional to 108.91 and 192.02 is: 338.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.91 : 192.02 = 192.02 : x
  2. Step 2: Convert to fraction form
    108.91/192.02 = 192.02/x
  3. Step 3: Cross multiply
    108.91x = 192.02 × 192.02
  4. Step 4: Simplify right side
    108.91x = 36,873.00
  5. Step 5: Solve for x
    x = 36,873.00/108.91
  6. Step 6: Final answer
    x = 338.55

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.