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Finding the Third Proportional to 106,701.75 and 226,545.75

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Solution

The third proportional to 106,701.75 and 226,545.75 is: 480,994.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,701.75 : 226,545.75 = 226,545.75 : x
  2. Step 2: Convert to fraction form
    106,701.75/226,545.75 = 226,545.75/x
  3. Step 3: Cross multiply
    106,701.75x = 226,545.75 × 226,545.75
  4. Step 4: Simplify right side
    106,701.75x = 51,322,976,843.06
  5. Step 5: Solve for x
    x = 51,322,976,843.06/106,701.75
  6. Step 6: Final answer
    x = 480,994.71

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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.