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Finding the Third Proportional to 97.63 and 206.13

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Solution

The third proportional to 97.63 and 206.13 is: 435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.63 : 206.13 = 206.13 : x
  2. Step 2: Convert to fraction form
    97.63/206.13 = 206.13/x
  3. Step 3: Cross multiply
    97.63x = 206.13 × 206.13
  4. Step 4: Simplify right side
    97.63x = 42,487.52
  5. Step 5: Solve for x
    x = 42,487.52/97.63
  6. Step 6: Final answer
    x = 435.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.