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Finding the Third Proportional to 100,604.25 and 213,201

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Solution

The third proportional to 100,604.25 and 213,201 is: 451,816.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,604.25 : 213,201 = 213,201 : x
  2. Step 2: Convert to fraction form
    100,604.25/213,201 = 213,201/x
  3. Step 3: Cross multiply
    100,604.25x = 213,201 × 213,201
  4. Step 4: Simplify right side
    100,604.25x = 45,454,666,401
  5. Step 5: Solve for x
    x = 45,454,666,401/100,604.25
  6. Step 6: Final answer
    x = 451,816.56

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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.