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Finding the Third Proportional to 93,996 and 195,738

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Solution

The third proportional to 93,996 and 195,738 is: 407,606.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,996 : 195,738 = 195,738 : x
  2. Step 2: Convert to fraction form
    93,996/195,738 = 195,738/x
  3. Step 3: Cross multiply
    93,996x = 195,738 × 195,738
  4. Step 4: Simplify right side
    93,996x = 38,313,364,644
  5. Step 5: Solve for x
    x = 38,313,364,644/93,996
  6. Step 6: Final answer
    x = 407,606.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.