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Finding the Third Proportional to 94,230 and 204,006

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Solution

The third proportional to 94,230 and 204,006 is: 441,668.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,230 : 204,006 = 204,006 : x
  2. Step 2: Convert to fraction form
    94,230/204,006 = 204,006/x
  3. Step 3: Cross multiply
    94,230x = 204,006 × 204,006
  4. Step 4: Simplify right side
    94,230x = 41,618,448,036
  5. Step 5: Solve for x
    x = 41,618,448,036/94,230
  6. Step 6: Final answer
    x = 441,668.77

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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.