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Finding the Third Proportional to 94,016 and 204,288

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Solution

The third proportional to 94,016 and 204,288 is: 443,898.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,016 : 204,288 = 204,288 : x
  2. Step 2: Convert to fraction form
    94,016/204,288 = 204,288/x
  3. Step 3: Cross multiply
    94,016x = 204,288 × 204,288
  4. Step 4: Simplify right side
    94,016x = 41,733,586,944
  5. Step 5: Solve for x
    x = 41,733,586,944/94,016
  6. Step 6: Final answer
    x = 443,898.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.