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Finding the Third Proportional to 48,751.88 and 101,368.97

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Solution

The third proportional to 48,751.88 and 101,368.97 is: 210,774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,751.88 : 101,368.97 = 101,368.97 : x
  2. Step 2: Convert to fraction form
    48,751.88/101,368.97 = 101,368.97/x
  3. Step 3: Cross multiply
    48,751.88x = 101,368.97 × 101,368.97
  4. Step 4: Simplify right side
    48,751.88x = 10,275,667,825.44
  5. Step 5: Solve for x
    x = 10,275,667,825.44/48,751.88
  6. Step 6: Final answer
    x = 210,774.82

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.