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Finding the Third Proportional to 93,473 and 203,864

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Solution

The third proportional to 93,473 and 203,864 is: 444,626.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,473 : 203,864 = 203,864 : x
  2. Step 2: Convert to fraction form
    93,473/203,864 = 203,864/x
  3. Step 3: Cross multiply
    93,473x = 203,864 × 203,864
  4. Step 4: Simplify right side
    93,473x = 41,560,530,496
  5. Step 5: Solve for x
    x = 41,560,530,496/93,473
  6. Step 6: Final answer
    x = 444,626.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.