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Finding the Third Proportional to 106,707.75 and 226,557.75

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Solution

The third proportional to 106,707.75 and 226,557.75 is: 481,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,707.75 : 226,557.75 = 226,557.75 : x
  2. Step 2: Convert to fraction form
    106,707.75/226,557.75 = 226,557.75/x
  3. Step 3: Cross multiply
    106,707.75x = 226,557.75 × 226,557.75
  4. Step 4: Simplify right side
    106,707.75x = 51,328,414,085.06
  5. Step 5: Solve for x
    x = 51,328,414,085.06/106,707.75
  6. Step 6: Final answer
    x = 481,018.61

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.