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Finding the Third Proportional to 90,158.06 and 194,770.69

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Solution

The third proportional to 90,158.06 and 194,770.69 is: 420,767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,158.06 : 194,770.69 = 194,770.69 : x
  2. Step 2: Convert to fraction form
    90,158.06/194,770.69 = 194,770.69/x
  3. Step 3: Cross multiply
    90,158.06x = 194,770.69 × 194,770.69
  4. Step 4: Simplify right side
    90,158.06x = 37,935,620,709.22
  5. Step 5: Solve for x
    x = 37,935,620,709.22/90,158.06
  6. Step 6: Final answer
    x = 420,767.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.