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Finding the Third Proportional to 90,200.06 and 194,853.56

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Solution

The third proportional to 90,200.06 and 194,853.56 is: 420,929.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,200.06 : 194,853.56 = 194,853.56 : x
  2. Step 2: Convert to fraction form
    90,200.06/194,853.56 = 194,853.56/x
  3. Step 3: Cross multiply
    90,200.06x = 194,853.56 × 194,853.56
  4. Step 4: Simplify right side
    90,200.06x = 37,967,910,818.94
  5. Step 5: Solve for x
    x = 37,967,910,818.94/90,200.06
  6. Step 6: Final answer
    x = 420,929.98

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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.