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Finding the Third Proportional to 90,373.50 and 194,620.50

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Solution

The third proportional to 90,373.50 and 194,620.50 is: 419,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,373.50 : 194,620.50 = 194,620.50 : x
  2. Step 2: Convert to fraction form
    90,373.50/194,620.50 = 194,620.50/x
  3. Step 3: Cross multiply
    90,373.50x = 194,620.50 × 194,620.50
  4. Step 4: Simplify right side
    90,373.50x = 37,877,139,020.25
  5. Step 5: Solve for x
    x = 37,877,139,020.25/90,373.50
  6. Step 6: Final answer
    x = 419,117.76

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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.