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Finding the Third Proportional to 95.63 and 206.02

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Solution

The third proportional to 95.63 and 206.02 is: 443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.63 : 206.02 = 206.02 : x
  2. Step 2: Convert to fraction form
    95.63/206.02 = 206.02/x
  3. Step 3: Cross multiply
    95.63x = 206.02 × 206.02
  4. Step 4: Simplify right side
    95.63x = 42,442.44
  5. Step 5: Solve for x
    x = 42,442.44/95.63
  6. Step 6: Final answer
    x = 443.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.