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Finding the Third Proportional to 45,250.50 and 99,249

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Solution

The third proportional to 45,250.50 and 99,249 is: 217,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,250.50 : 99,249 = 99,249 : x
  2. Step 2: Convert to fraction form
    45,250.50/99,249 = 99,249/x
  3. Step 3: Cross multiply
    45,250.50x = 99,249 × 99,249
  4. Step 4: Simplify right side
    45,250.50x = 9,850,364,001
  5. Step 5: Solve for x
    x = 9,850,364,001/45,250.50
  6. Step 6: Final answer
    x = 217,685.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.