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Finding the Third Proportional to 100,596.94 and 213,186.94

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Solution

The third proportional to 100,596.94 and 213,186.94 is: 451,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,596.94 : 213,186.94 = 213,186.94 : x
  2. Step 2: Convert to fraction form
    100,596.94/213,186.94 = 213,186.94/x
  3. Step 3: Cross multiply
    100,596.94x = 213,186.94 × 213,186.94
  4. Step 4: Simplify right side
    100,596.94x = 45,448,670,320.63
  5. Step 5: Solve for x
    x = 45,448,670,320.63/100,596.94
  6. Step 6: Final answer
    x = 451,789.80

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.