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Finding the Third Proportional to 98.09 and 209.14

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Solution

The third proportional to 98.09 and 209.14 is: 445.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.09 : 209.14 = 209.14 : x
  2. Step 2: Convert to fraction form
    98.09/209.14 = 209.14/x
  3. Step 3: Cross multiply
    98.09x = 209.14 × 209.14
  4. Step 4: Simplify right side
    98.09x = 43,741.43
  5. Step 5: Solve for x
    x = 43,741.43/98.09
  6. Step 6: Final answer
    x = 445.95

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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.