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Finding the Third Proportional to 46.50 and 96.38

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Solution

The third proportional to 46.50 and 96.38 is: 199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.50 : 96.38 = 96.38 : x
  2. Step 2: Convert to fraction form
    46.50/96.38 = 96.38/x
  3. Step 3: Cross multiply
    46.50x = 96.38 × 96.38
  4. Step 4: Simplify right side
    46.50x = 9,288.14
  5. Step 5: Solve for x
    x = 9,288.14/46.50
  6. Step 6: Final answer
    x = 199.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.