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Finding the Third Proportional to 90,532 and 199,112

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Solution

The third proportional to 90,532 and 199,112 is: 437,917.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,532 : 199,112 = 199,112 : x
  2. Step 2: Convert to fraction form
    90,532/199,112 = 199,112/x
  3. Step 3: Cross multiply
    90,532x = 199,112 × 199,112
  4. Step 4: Simplify right side
    90,532x = 39,645,588,544
  5. Step 5: Solve for x
    x = 39,645,588,544/90,532
  6. Step 6: Final answer
    x = 437,917.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.