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Finding the Third Proportional to 48,538.88 and 103,826.25

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Solution

The third proportional to 48,538.88 and 103,826.25 is: 222,087.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,538.88 : 103,826.25 = 103,826.25 : x
  2. Step 2: Convert to fraction form
    48,538.88/103,826.25 = 103,826.25/x
  3. Step 3: Cross multiply
    48,538.88x = 103,826.25 × 103,826.25
  4. Step 4: Simplify right side
    48,538.88x = 10,779,890,189.06
  5. Step 5: Solve for x
    x = 10,779,890,189.06/48,538.88
  6. Step 6: Final answer
    x = 222,087.76

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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.