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Finding the Third Proportional to 93,912 and 206,256

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Solution

The third proportional to 93,912 and 206,256 is: 452,993.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,912 : 206,256 = 206,256 : x
  2. Step 2: Convert to fraction form
    93,912/206,256 = 206,256/x
  3. Step 3: Cross multiply
    93,912x = 206,256 × 206,256
  4. Step 4: Simplify right side
    93,912x = 42,541,537,536
  5. Step 5: Solve for x
    x = 42,541,537,536/93,912
  6. Step 6: Final answer
    x = 452,993.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.