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Finding the Third Proportional to 109,156.50 and 150,310.13

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Solution

The third proportional to 109,156.50 and 150,310.13 is: 206,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,156.50 : 150,310.13 = 150,310.13 : x
  2. Step 2: Convert to fraction form
    109,156.50/150,310.13 = 150,310.13/x
  3. Step 3: Cross multiply
    109,156.50x = 150,310.13 × 150,310.13
  4. Step 4: Simplify right side
    109,156.50x = 22,593,133,677.52
  5. Step 5: Solve for x
    x = 22,593,133,677.52/109,156.50
  6. Step 6: Final answer
    x = 206,979.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.