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Finding the Third Proportional to 93,238 and 204,622

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Solution

The third proportional to 93,238 and 204,622 is: 449,067.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,238 : 204,622 = 204,622 : x
  2. Step 2: Convert to fraction form
    93,238/204,622 = 204,622/x
  3. Step 3: Cross multiply
    93,238x = 204,622 × 204,622
  4. Step 4: Simplify right side
    93,238x = 41,870,162,884
  5. Step 5: Solve for x
    x = 41,870,162,884/93,238
  6. Step 6: Final answer
    x = 449,067.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.