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Finding the Third Proportional to 45,930.20 and 98,672.09

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Solution

The third proportional to 45,930.20 and 98,672.09 is: 211,977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,930.20 : 98,672.09 = 98,672.09 : x
  2. Step 2: Convert to fraction form
    45,930.20/98,672.09 = 98,672.09/x
  3. Step 3: Cross multiply
    45,930.20x = 98,672.09 × 98,672.09
  4. Step 4: Simplify right side
    45,930.20x = 9,736,181,338.22
  5. Step 5: Solve for x
    x = 9,736,181,338.22/45,930.20
  6. Step 6: Final answer
    x = 211,977.75

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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.