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Finding the Third Proportional to 50,277.50 and 99,286

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Solution

The third proportional to 50,277.50 and 99,286 is: 196,066.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,277.50 : 99,286 = 99,286 : x
  2. Step 2: Convert to fraction form
    50,277.50/99,286 = 99,286/x
  3. Step 3: Cross multiply
    50,277.50x = 99,286 × 99,286
  4. Step 4: Simplify right side
    50,277.50x = 9,857,709,796
  5. Step 5: Solve for x
    x = 9,857,709,796/50,277.50
  6. Step 6: Final answer
    x = 196,066.03

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Why These Related Problems?

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