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Finding the Third Proportional to 93,874 and 203,792

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Solution

The third proportional to 93,874 and 203,792 is: 442,414.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,874 : 203,792 = 203,792 : x
  2. Step 2: Convert to fraction form
    93,874/203,792 = 203,792/x
  3. Step 3: Cross multiply
    93,874x = 203,792 × 203,792
  4. Step 4: Simplify right side
    93,874x = 41,531,179,264
  5. Step 5: Solve for x
    x = 41,531,179,264/93,874
  6. Step 6: Final answer
    x = 442,414.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.