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Finding the Third Proportional to 103.54 and 223.95

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Solution

The third proportional to 103.54 and 223.95 is: 484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.54 : 223.95 = 223.95 : x
  2. Step 2: Convert to fraction form
    103.54/223.95 = 223.95/x
  3. Step 3: Cross multiply
    103.54x = 223.95 × 223.95
  4. Step 4: Simplify right side
    103.54x = 50,151.50
  5. Step 5: Solve for x
    x = 50,151.50/103.54
  6. Step 6: Final answer
    x = 484.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.