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Finding the Third Proportional to 94.42 and 200.19

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Solution

The third proportional to 94.42 and 200.19 is: 424.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.42 : 200.19 = 200.19 : x
  2. Step 2: Convert to fraction form
    94.42/200.19 = 200.19/x
  3. Step 3: Cross multiply
    94.42x = 200.19 × 200.19
  4. Step 4: Simplify right side
    94.42x = 40,075.04
  5. Step 5: Solve for x
    x = 40,075.04/94.42
  6. Step 6: Final answer
    x = 424.43

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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.