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Finding the Third Proportional to 91.94 and 201.44

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Solution

The third proportional to 91.94 and 201.44 is: 441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.94 : 201.44 = 201.44 : x
  2. Step 2: Convert to fraction form
    91.94/201.44 = 201.44/x
  3. Step 3: Cross multiply
    91.94x = 201.44 × 201.44
  4. Step 4: Simplify right side
    91.94x = 40,577.07
  5. Step 5: Solve for x
    x = 40,577.07/91.94
  6. Step 6: Final answer
    x = 441.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.