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Finding the Third Proportional to 93,363 and 204,867

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Solution

The third proportional to 93,363 and 204,867 is: 449,540.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,363 : 204,867 = 204,867 : x
  2. Step 2: Convert to fraction form
    93,363/204,867 = 204,867/x
  3. Step 3: Cross multiply
    93,363x = 204,867 × 204,867
  4. Step 4: Simplify right side
    93,363x = 41,970,487,689
  5. Step 5: Solve for x
    x = 41,970,487,689/93,363
  6. Step 6: Final answer
    x = 449,540.91

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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.