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Finding the Third Proportional to 100,610.75 and 213,212.25

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Solution

The third proportional to 100,610.75 and 213,212.25 is: 451,835.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,610.75 : 213,212.25 = 213,212.25 : x
  2. Step 2: Convert to fraction form
    100,610.75/213,212.25 = 213,212.25/x
  3. Step 3: Cross multiply
    100,610.75x = 213,212.25 × 213,212.25
  4. Step 4: Simplify right side
    100,610.75x = 45,459,463,550.06
  5. Step 5: Solve for x
    x = 45,459,463,550.06/100,610.75
  6. Step 6: Final answer
    x = 451,835.05

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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.