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Finding the Third Proportional to 95,323.50 and 188,253

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Solution

The third proportional to 95,323.50 and 188,253 is: 371,778.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,323.50 : 188,253 = 188,253 : x
  2. Step 2: Convert to fraction form
    95,323.50/188,253 = 188,253/x
  3. Step 3: Cross multiply
    95,323.50x = 188,253 × 188,253
  4. Step 4: Simplify right side
    95,323.50x = 35,439,192,009
  5. Step 5: Solve for x
    x = 35,439,192,009/95,323.50
  6. Step 6: Final answer
    x = 371,778.12

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.