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Finding the Third Proportional to 91.84 and 200.05

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Solution

The third proportional to 91.84 and 200.05 is: 435.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.84 : 200.05 = 200.05 : x
  2. Step 2: Convert to fraction form
    91.84/200.05 = 200.05/x
  3. Step 3: Cross multiply
    91.84x = 200.05 × 200.05
  4. Step 4: Simplify right side
    91.84x = 40,019.14
  5. Step 5: Solve for x
    x = 40,019.14/91.84
  6. Step 6: Final answer
    x = 435.76

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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.