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Finding the Third Proportional to 109,515.38 and 235,391.63

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Solution

The third proportional to 109,515.38 and 235,391.63 is: 505,949.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,515.38 : 235,391.63 = 235,391.63 : x
  2. Step 2: Convert to fraction form
    109,515.38/235,391.63 = 235,391.63/x
  3. Step 3: Cross multiply
    109,515.38x = 235,391.63 × 235,391.63
  4. Step 4: Simplify right side
    109,515.38x = 55,409,217,120.14
  5. Step 5: Solve for x
    x = 55,409,217,120.14/109,515.38
  6. Step 6: Final answer
    x = 505,949.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.