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Finding the Third Proportional to 98.53 and 209.98

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Solution

The third proportional to 98.53 and 209.98 is: 447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.53 : 209.98 = 209.98 : x
  2. Step 2: Convert to fraction form
    98.53/209.98 = 209.98/x
  3. Step 3: Cross multiply
    98.53x = 209.98 × 209.98
  4. Step 4: Simplify right side
    98.53x = 44,090.16
  5. Step 5: Solve for x
    x = 44,090.16/98.53
  6. Step 6: Final answer
    x = 447.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.