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Finding the Third Proportional to 93,343 and 204,831

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Solution

The third proportional to 93,343 and 204,831 is: 449,479.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,343 : 204,831 = 204,831 : x
  2. Step 2: Convert to fraction form
    93,343/204,831 = 204,831/x
  3. Step 3: Cross multiply
    93,343x = 204,831 × 204,831
  4. Step 4: Simplify right side
    93,343x = 41,955,738,561
  5. Step 5: Solve for x
    x = 41,955,738,561/93,343
  6. Step 6: Final answer
    x = 449,479.22

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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.