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Finding the Third Proportional to 103,163.63 and 226,010.25

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Solution

The third proportional to 103,163.63 and 226,010.25 is: 495,141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,163.63 : 226,010.25 = 226,010.25 : x
  2. Step 2: Convert to fraction form
    103,163.63/226,010.25 = 226,010.25/x
  3. Step 3: Cross multiply
    103,163.63x = 226,010.25 × 226,010.25
  4. Step 4: Simplify right side
    103,163.63x = 51,080,633,105.06
  5. Step 5: Solve for x
    x = 51,080,633,105.06/103,163.63
  6. Step 6: Final answer
    x = 495,141.90

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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.