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Finding the Third Proportional to 104,803.88 and 226,212.75

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Solution

The third proportional to 104,803.88 and 226,212.75 is: 488,266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,803.88 : 226,212.75 = 226,212.75 : x
  2. Step 2: Convert to fraction form
    104,803.88/226,212.75 = 226,212.75/x
  3. Step 3: Cross multiply
    104,803.88x = 226,212.75 × 226,212.75
  4. Step 4: Simplify right side
    104,803.88x = 51,172,208,262.56
  5. Step 5: Solve for x
    x = 51,172,208,262.56/104,803.88
  6. Step 6: Final answer
    x = 488,266.38

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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.