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Finding the Third Proportional to 111,759.75 and 217,900.13

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Solution

The third proportional to 111,759.75 and 217,900.13 is: 424,844.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,759.75 : 217,900.13 = 217,900.13 : x
  2. Step 2: Convert to fraction form
    111,759.75/217,900.13 = 217,900.13/x
  3. Step 3: Cross multiply
    111,759.75x = 217,900.13 × 217,900.13
  4. Step 4: Simplify right side
    111,759.75x = 47,480,464,475.02
  5. Step 5: Solve for x
    x = 47,480,464,475.02/111,759.75
  6. Step 6: Final answer
    x = 424,844.05

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.