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Finding the Third Proportional to 103,219.50 and 150,846

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Solution

The third proportional to 103,219.50 and 150,846 is: 220,447.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,219.50 : 150,846 = 150,846 : x
  2. Step 2: Convert to fraction form
    103,219.50/150,846 = 150,846/x
  3. Step 3: Cross multiply
    103,219.50x = 150,846 × 150,846
  4. Step 4: Simplify right side
    103,219.50x = 22,754,515,716
  5. Step 5: Solve for x
    x = 22,754,515,716/103,219.50
  6. Step 6: Final answer
    x = 220,447.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.