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Finding the Third Proportional to 99,348 and 150,306

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Solution

The third proportional to 99,348 and 150,306 is: 227,401.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,348 : 150,306 = 150,306 : x
  2. Step 2: Convert to fraction form
    99,348/150,306 = 150,306/x
  3. Step 3: Cross multiply
    99,348x = 150,306 × 150,306
  4. Step 4: Simplify right side
    99,348x = 22,591,893,636
  5. Step 5: Solve for x
    x = 22,591,893,636/99,348
  6. Step 6: Final answer
    x = 227,401.59

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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.