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Finding the Third Proportional to 44.78 and 93.78

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Solution

The third proportional to 44.78 and 93.78 is: 196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.78 : 93.78 = 93.78 : x
  2. Step 2: Convert to fraction form
    44.78/93.78 = 93.78/x
  3. Step 3: Cross multiply
    44.78x = 93.78 × 93.78
  4. Step 4: Simplify right side
    44.78x = 8,794.92
  5. Step 5: Solve for x
    x = 8,794.92/44.78
  6. Step 6: Final answer
    x = 196.40

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.