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Finding the Third Proportional to 103,220.44 and 150,847.31

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Solution

The third proportional to 103,220.44 and 150,847.31 is: 220,449.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,220.44 : 150,847.31 = 150,847.31 : x
  2. Step 2: Convert to fraction form
    103,220.44/150,847.31 = 150,847.31/x
  3. Step 3: Cross multiply
    103,220.44x = 150,847.31 × 150,847.31
  4. Step 4: Simplify right side
    103,220.44x = 22,754,911,688.47
  5. Step 5: Solve for x
    x = 22,754,911,688.47/103,220.44
  6. Step 6: Final answer
    x = 220,449.67

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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.