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Finding the Third Proportional to 106,044.75 and 219,471.75

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Solution

The third proportional to 106,044.75 and 219,471.75 is: 454,221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,044.75 : 219,471.75 = 219,471.75 : x
  2. Step 2: Convert to fraction form
    106,044.75/219,471.75 = 219,471.75/x
  3. Step 3: Cross multiply
    106,044.75x = 219,471.75 × 219,471.75
  4. Step 4: Simplify right side
    106,044.75x = 48,167,849,048.06
  5. Step 5: Solve for x
    x = 48,167,849,048.06/106,044.75
  6. Step 6: Final answer
    x = 454,221.91

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.