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Finding the Third Proportional to 106,585.88 and 227,941.59

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Solution

The third proportional to 106,585.88 and 227,941.59 is: 487,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,585.88 : 227,941.59 = 227,941.59 : x
  2. Step 2: Convert to fraction form
    106,585.88/227,941.59 = 227,941.59/x
  3. Step 3: Cross multiply
    106,585.88x = 227,941.59 × 227,941.59
  4. Step 4: Simplify right side
    106,585.88x = 51,957,370,161.29
  5. Step 5: Solve for x
    x = 51,957,370,161.29/106,585.88
  6. Step 6: Final answer
    x = 487,469.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.