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Finding the Third Proportional to 93,338 and 204,824

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Solution

The third proportional to 93,338 and 204,824 is: 449,472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,338 : 204,824 = 204,824 : x
  2. Step 2: Convert to fraction form
    93,338/204,824 = 204,824/x
  3. Step 3: Cross multiply
    93,338x = 204,824 × 204,824
  4. Step 4: Simplify right side
    93,338x = 41,952,870,976
  5. Step 5: Solve for x
    x = 41,952,870,976/93,338
  6. Step 6: Final answer
    x = 449,472.57

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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.