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Finding the Third Proportional to 91.13 and 200.05

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Solution

The third proportional to 91.13 and 200.05 is: 439.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.13 : 200.05 = 200.05 : x
  2. Step 2: Convert to fraction form
    91.13/200.05 = 200.05/x
  3. Step 3: Cross multiply
    91.13x = 200.05 × 200.05
  4. Step 4: Simplify right side
    91.13x = 40,019.14
  5. Step 5: Solve for x
    x = 40,019.14/91.13
  6. Step 6: Final answer
    x = 439.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.