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Finding the Third Proportional to 102,944 and 223,936

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Solution

The third proportional to 102,944 and 223,936 is: 487,132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,944 : 223,936 = 223,936 : x
  2. Step 2: Convert to fraction form
    102,944/223,936 = 223,936/x
  3. Step 3: Cross multiply
    102,944x = 223,936 × 223,936
  4. Step 4: Simplify right side
    102,944x = 50,147,332,096
  5. Step 5: Solve for x
    x = 50,147,332,096/102,944
  6. Step 6: Final answer
    x = 487,132.15

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