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Finding the Third Proportional to 104,902.88 and 226,390.78

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Solution

The third proportional to 104,902.88 and 226,390.78 is: 488,573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,902.88 : 226,390.78 = 226,390.78 : x
  2. Step 2: Convert to fraction form
    104,902.88/226,390.78 = 226,390.78/x
  3. Step 3: Cross multiply
    104,902.88x = 226,390.78 × 226,390.78
  4. Step 4: Simplify right side
    104,902.88x = 51,252,785,834.99
  5. Step 5: Solve for x
    x = 51,252,785,834.99/104,902.88
  6. Step 6: Final answer
    x = 488,573.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.