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Finding the Third Proportional to 98.63 and 204.75

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Solution

The third proportional to 98.63 and 204.75 is: 425.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.63 : 204.75 = 204.75 : x
  2. Step 2: Convert to fraction form
    98.63/204.75 = 204.75/x
  3. Step 3: Cross multiply
    98.63x = 204.75 × 204.75
  4. Step 4: Simplify right side
    98.63x = 41,922.56
  5. Step 5: Solve for x
    x = 41,922.56/98.63
  6. Step 6: Final answer
    x = 425.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.