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Finding the Third Proportional to 94,680 and 204,116

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Solution

The third proportional to 94,680 and 204,116 is: 440,043.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,680 : 204,116 = 204,116 : x
  2. Step 2: Convert to fraction form
    94,680/204,116 = 204,116/x
  3. Step 3: Cross multiply
    94,680x = 204,116 × 204,116
  4. Step 4: Simplify right side
    94,680x = 41,663,341,456
  5. Step 5: Solve for x
    x = 41,663,341,456/94,680
  6. Step 6: Final answer
    x = 440,043.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.