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Finding the Third Proportional to 95,977 and 150,216

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Solution

The third proportional to 95,977 and 150,216 is: 235,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,977 : 150,216 = 150,216 : x
  2. Step 2: Convert to fraction form
    95,977/150,216 = 150,216/x
  3. Step 3: Cross multiply
    95,977x = 150,216 × 150,216
  4. Step 4: Simplify right side
    95,977x = 22,564,846,656
  5. Step 5: Solve for x
    x = 22,564,846,656/95,977
  6. Step 6: Final answer
    x = 235,106.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.