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Finding the Third Proportional to 109,072.88 and 228,027.38

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Solution

The third proportional to 109,072.88 and 228,027.38 is: 476,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,072.88 : 228,027.38 = 228,027.38 : x
  2. Step 2: Convert to fraction form
    109,072.88/228,027.38 = 228,027.38/x
  3. Step 3: Cross multiply
    109,072.88x = 228,027.38 × 228,027.38
  4. Step 4: Simplify right side
    109,072.88x = 51,996,483,749.39
  5. Step 5: Solve for x
    x = 51,996,483,749.39/109,072.88
  6. Step 6: Final answer
    x = 476,713.24

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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.