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Finding the Third Proportional to 100,599.75 and 150,911.63

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Solution

The third proportional to 100,599.75 and 150,911.63 is: 226,385.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,599.75 : 150,911.63 = 150,911.63 : x
  2. Step 2: Convert to fraction form
    100,599.75/150,911.63 = 150,911.63/x
  3. Step 3: Cross multiply
    100,599.75x = 150,911.63 × 150,911.63
  4. Step 4: Simplify right side
    100,599.75x = 22,774,318,560.14
  5. Step 5: Solve for x
    x = 22,774,318,560.14/100,599.75
  6. Step 6: Final answer
    x = 226,385.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.