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Finding the Third Proportional to 104,146.88 and 227,109.38

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Solution

The third proportional to 104,146.88 and 227,109.38 is: 495,249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,146.88 : 227,109.38 = 227,109.38 : x
  2. Step 2: Convert to fraction form
    104,146.88/227,109.38 = 227,109.38/x
  3. Step 3: Cross multiply
    104,146.88x = 227,109.38 × 227,109.38
  4. Step 4: Simplify right side
    104,146.88x = 51,578,668,212.89
  5. Step 5: Solve for x
    x = 51,578,668,212.89/104,146.88
  6. Step 6: Final answer
    x = 495,249.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.