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Finding the Third Proportional to 99,370 and 150,339

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Solution

The third proportional to 99,370 and 150,339 is: 227,451.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,370 : 150,339 = 150,339 : x
  2. Step 2: Convert to fraction form
    99,370/150,339 = 150,339/x
  3. Step 3: Cross multiply
    99,370x = 150,339 × 150,339
  4. Step 4: Simplify right side
    99,370x = 22,601,814,921
  5. Step 5: Solve for x
    x = 22,601,814,921/99,370
  6. Step 6: Final answer
    x = 227,451.09

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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.