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Finding the Third Proportional to 103,828.03 and 226,872.56

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Solution

The third proportional to 103,828.03 and 226,872.56 is: 495,734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,828.03 : 226,872.56 = 226,872.56 : x
  2. Step 2: Convert to fraction form
    103,828.03/226,872.56 = 226,872.56/x
  3. Step 3: Cross multiply
    103,828.03x = 226,872.56 × 226,872.56
  4. Step 4: Simplify right side
    103,828.03x = 51,471,159,615.32
  5. Step 5: Solve for x
    x = 51,471,159,615.32/103,828.03
  6. Step 6: Final answer
    x = 495,734.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.