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Finding the Third Proportional to 104,853.38 and 228,138.75

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Solution

The third proportional to 104,853.38 and 228,138.75 is: 496,381.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,853.38 : 228,138.75 = 228,138.75 : x
  2. Step 2: Convert to fraction form
    104,853.38/228,138.75 = 228,138.75/x
  3. Step 3: Cross multiply
    104,853.38x = 228,138.75 × 228,138.75
  4. Step 4: Simplify right side
    104,853.38x = 52,047,289,251.56
  5. Step 5: Solve for x
    x = 52,047,289,251.56/104,853.38
  6. Step 6: Final answer
    x = 496,381.63

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Why These Related Problems?

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