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Finding the Third Proportional to 106,044.94 and 219,471.38

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Solution

The third proportional to 106,044.94 and 219,471.38 is: 454,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,044.94 : 219,471.38 = 219,471.38 : x
  2. Step 2: Convert to fraction form
    106,044.94/219,471.38 = 219,471.38/x
  3. Step 3: Cross multiply
    106,044.94x = 219,471.38 × 219,471.38
  4. Step 4: Simplify right side
    106,044.94x = 48,167,684,444.39
  5. Step 5: Solve for x
    x = 48,167,684,444.39/106,044.94
  6. Step 6: Final answer
    x = 454,219.56

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Why These Related Problems?

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