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Finding the Third Proportional to 111,286.88 and 235,816.13

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Solution

The third proportional to 111,286.88 and 235,816.13 is: 499,692.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,286.88 : 235,816.13 = 235,816.13 : x
  2. Step 2: Convert to fraction form
    111,286.88/235,816.13 = 235,816.13/x
  3. Step 3: Cross multiply
    111,286.88x = 235,816.13 × 235,816.13
  4. Step 4: Simplify right side
    111,286.88x = 55,609,244,810.02
  5. Step 5: Solve for x
    x = 55,609,244,810.02/111,286.88
  6. Step 6: Final answer
    x = 499,692.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.