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Finding the Third Proportional to 104,998.78 and 226,400.06

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Solution

The third proportional to 104,998.78 and 226,400.06 is: 488,167.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,998.78 : 226,400.06 = 226,400.06 : x
  2. Step 2: Convert to fraction form
    104,998.78/226,400.06 = 226,400.06/x
  3. Step 3: Cross multiply
    104,998.78x = 226,400.06 × 226,400.06
  4. Step 4: Simplify right side
    104,998.78x = 51,256,988,300.00
  5. Step 5: Solve for x
    x = 51,256,988,300.00/104,998.78
  6. Step 6: Final answer
    x = 488,167.46

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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.