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Finding the Third Proportional to 99,350 and 150,309

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Solution

The third proportional to 99,350 and 150,309 is: 227,406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,350 : 150,309 = 150,309 : x
  2. Step 2: Convert to fraction form
    99,350/150,309 = 150,309/x
  3. Step 3: Cross multiply
    99,350x = 150,309 × 150,309
  4. Step 4: Simplify right side
    99,350x = 22,592,795,481
  5. Step 5: Solve for x
    x = 22,592,795,481/99,350
  6. Step 6: Final answer
    x = 227,406.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.