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Finding the Third Proportional to 104,208.19 and 213,332.06

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Solution

The third proportional to 104,208.19 and 213,332.06 is: 436,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,208.19 : 213,332.06 = 213,332.06 : x
  2. Step 2: Convert to fraction form
    104,208.19/213,332.06 = 213,332.06/x
  3. Step 3: Cross multiply
    104,208.19x = 213,332.06 × 213,332.06
  4. Step 4: Simplify right side
    104,208.19x = 45,510,568,890.50
  5. Step 5: Solve for x
    x = 45,510,568,890.50/104,208.19
  6. Step 6: Final answer
    x = 436,727.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.