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Finding the Third Proportional to 103,227 and 150,856.50

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Solution

The third proportional to 103,227 and 150,856.50 is: 220,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,227 : 150,856.50 = 150,856.50 : x
  2. Step 2: Convert to fraction form
    103,227/150,856.50 = 150,856.50/x
  3. Step 3: Cross multiply
    103,227x = 150,856.50 × 150,856.50
  4. Step 4: Simplify right side
    103,227x = 22,757,683,592.25
  5. Step 5: Solve for x
    x = 22,757,683,592.25/103,227
  6. Step 6: Final answer
    x = 220,462.51

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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.