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Finding the Third Proportional to 100,603.69 and 213,200.44

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Solution

The third proportional to 100,603.69 and 213,200.44 is: 451,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,603.69 : 213,200.44 = 213,200.44 : x
  2. Step 2: Convert to fraction form
    100,603.69/213,200.44 = 213,200.44/x
  3. Step 3: Cross multiply
    100,603.69x = 213,200.44 × 213,200.44
  4. Step 4: Simplify right side
    100,603.69x = 45,454,426,550.19
  5. Step 5: Solve for x
    x = 45,454,426,550.19/100,603.69
  6. Step 6: Final answer
    x = 451,816.70

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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.