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Finding the Third Proportional to 100,055.25 and 208,311.75

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Solution

The third proportional to 100,055.25 and 208,311.75 is: 433,698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,055.25 : 208,311.75 = 208,311.75 : x
  2. Step 2: Convert to fraction form
    100,055.25/208,311.75 = 208,311.75/x
  3. Step 3: Cross multiply
    100,055.25x = 208,311.75 × 208,311.75
  4. Step 4: Simplify right side
    100,055.25x = 43,393,785,188.06
  5. Step 5: Solve for x
    x = 43,393,785,188.06/100,055.25
  6. Step 6: Final answer
    x = 433,698.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.