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Finding the Third Proportional to 50,278.50 and 99,288

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Solution

The third proportional to 50,278.50 and 99,288 is: 196,070.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,278.50 : 99,288 = 99,288 : x
  2. Step 2: Convert to fraction form
    50,278.50/99,288 = 99,288/x
  3. Step 3: Cross multiply
    50,278.50x = 99,288 × 99,288
  4. Step 4: Simplify right side
    50,278.50x = 9,858,106,944
  5. Step 5: Solve for x
    x = 9,858,106,944/50,278.50
  6. Step 6: Final answer
    x = 196,070.03

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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.