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Finding the Third Proportional to 90,063.56 and 194,043.94

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Solution

The third proportional to 90,063.56 and 194,043.94 is: 418,071.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,063.56 : 194,043.94 = 194,043.94 : x
  2. Step 2: Convert to fraction form
    90,063.56/194,043.94 = 194,043.94/x
  3. Step 3: Cross multiply
    90,063.56x = 194,043.94 × 194,043.94
  4. Step 4: Simplify right side
    90,063.56x = 37,653,049,680.50
  5. Step 5: Solve for x
    x = 37,653,049,680.50/90,063.56
  6. Step 6: Final answer
    x = 418,071.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.