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Finding the Third Proportional to 94,928 and 204,544

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Solution

The third proportional to 94,928 and 204,544 is: 440,736.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,928 : 204,544 = 204,544 : x
  2. Step 2: Convert to fraction form
    94,928/204,544 = 204,544/x
  3. Step 3: Cross multiply
    94,928x = 204,544 × 204,544
  4. Step 4: Simplify right side
    94,928x = 41,838,247,936
  5. Step 5: Solve for x
    x = 41,838,247,936/94,928
  6. Step 6: Final answer
    x = 440,736.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.