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Finding the Third Proportional to 106,025.84 and 231,104.39

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Solution

The third proportional to 106,025.84 and 231,104.39 is: 503,737.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,025.84 : 231,104.39 = 231,104.39 : x
  2. Step 2: Convert to fraction form
    106,025.84/231,104.39 = 231,104.39/x
  3. Step 3: Cross multiply
    106,025.84x = 231,104.39 × 231,104.39
  4. Step 4: Simplify right side
    106,025.84x = 53,409,239,366.15
  5. Step 5: Solve for x
    x = 53,409,239,366.15/106,025.84
  6. Step 6: Final answer
    x = 503,737.97

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Why These Related Problems?

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