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Finding the Third Proportional to 93,858 and 189,252

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Solution

The third proportional to 93,858 and 189,252 is: 381,601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,858 : 189,252 = 189,252 : x
  2. Step 2: Convert to fraction form
    93,858/189,252 = 189,252/x
  3. Step 3: Cross multiply
    93,858x = 189,252 × 189,252
  4. Step 4: Simplify right side
    93,858x = 35,816,319,504
  5. Step 5: Solve for x
    x = 35,816,319,504/93,858
  6. Step 6: Final answer
    x = 381,601.14

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.