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Finding the Third Proportional to 109,664 and 227,944

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Solution

The third proportional to 109,664 and 227,944 is: 473,796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,664 : 227,944 = 227,944 : x
  2. Step 2: Convert to fraction form
    109,664/227,944 = 227,944/x
  3. Step 3: Cross multiply
    109,664x = 227,944 × 227,944
  4. Step 4: Simplify right side
    109,664x = 51,958,467,136
  5. Step 5: Solve for x
    x = 51,958,467,136/109,664
  6. Step 6: Final answer
    x = 473,796.94

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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.