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Finding the Third Proportional to 90,440 and 188,944

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Solution

The third proportional to 90,440 and 188,944 is: 394,735.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,440 : 188,944 = 188,944 : x
  2. Step 2: Convert to fraction form
    90,440/188,944 = 188,944/x
  3. Step 3: Cross multiply
    90,440x = 188,944 × 188,944
  4. Step 4: Simplify right side
    90,440x = 35,699,835,136
  5. Step 5: Solve for x
    x = 35,699,835,136/90,440
  6. Step 6: Final answer
    x = 394,735.02

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.