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Finding the Third Proportional to 93,366 and 204,873

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Solution

The third proportional to 93,366 and 204,873 is: 449,552.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,366 : 204,873 = 204,873 : x
  2. Step 2: Convert to fraction form
    93,366/204,873 = 204,873/x
  3. Step 3: Cross multiply
    93,366x = 204,873 × 204,873
  4. Step 4: Simplify right side
    93,366x = 41,972,946,129
  5. Step 5: Solve for x
    x = 41,972,946,129/93,366
  6. Step 6: Final answer
    x = 449,552.79

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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.