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Finding the Third Proportional to 89.73 and 193.80

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Solution

The third proportional to 89.73 and 193.80 is: 418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.73 : 193.80 = 193.80 : x
  2. Step 2: Convert to fraction form
    89.73/193.80 = 193.80/x
  3. Step 3: Cross multiply
    89.73x = 193.80 × 193.80
  4. Step 4: Simplify right side
    89.73x = 37,557.23
  5. Step 5: Solve for x
    x = 37,557.23/89.73
  6. Step 6: Final answer
    x = 418.54

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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.