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Finding the Third Proportional to 94,880 and 204,421

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Solution

The third proportional to 94,880 and 204,421 is: 440,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,880 : 204,421 = 204,421 : x
  2. Step 2: Convert to fraction form
    94,880/204,421 = 204,421/x
  3. Step 3: Cross multiply
    94,880x = 204,421 × 204,421
  4. Step 4: Simplify right side
    94,880x = 41,787,945,241
  5. Step 5: Solve for x
    x = 41,787,945,241/94,880
  6. Step 6: Final answer
    x = 440,429.44

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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.