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Finding the Third Proportional to 90,882.52 and 194,134.83

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Solution

The third proportional to 90,882.52 and 194,134.83 is: 414,692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,882.52 : 194,134.83 = 194,134.83 : x
  2. Step 2: Convert to fraction form
    90,882.52/194,134.83 = 194,134.83/x
  3. Step 3: Cross multiply
    90,882.52x = 194,134.83 × 194,134.83
  4. Step 4: Simplify right side
    90,882.52x = 37,688,331,491.12
  5. Step 5: Solve for x
    x = 37,688,331,491.12/90,882.52
  6. Step 6: Final answer
    x = 414,692.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.