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Finding the Third Proportional to 48.52 and 103.99

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Solution

The third proportional to 48.52 and 103.99 is: 222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.52 : 103.99 = 103.99 : x
  2. Step 2: Convert to fraction form
    48.52/103.99 = 103.99/x
  3. Step 3: Cross multiply
    48.52x = 103.99 × 103.99
  4. Step 4: Simplify right side
    48.52x = 10,814.38
  5. Step 5: Solve for x
    x = 10,814.38/48.52
  6. Step 6: Final answer
    x = 222.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.