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Finding the Third Proportional to 93,859 and 194,372

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Solution

The third proportional to 93,859 and 194,372 is: 402,523.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,859 : 194,372 = 194,372 : x
  2. Step 2: Convert to fraction form
    93,859/194,372 = 194,372/x
  3. Step 3: Cross multiply
    93,859x = 194,372 × 194,372
  4. Step 4: Simplify right side
    93,859x = 37,780,474,384
  5. Step 5: Solve for x
    x = 37,780,474,384/93,859
  6. Step 6: Final answer
    x = 402,523.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.