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Finding the Third Proportional to 96,260.17 and 149,640.22

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Solution

The third proportional to 96,260.17 and 149,640.22 is: 232,621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,260.17 : 149,640.22 = 149,640.22 : x
  2. Step 2: Convert to fraction form
    96,260.17/149,640.22 = 149,640.22/x
  3. Step 3: Cross multiply
    96,260.17x = 149,640.22 × 149,640.22
  4. Step 4: Simplify right side
    96,260.17x = 22,392,196,236.61
  5. Step 5: Solve for x
    x = 22,392,196,236.61/96,260.17
  6. Step 6: Final answer
    x = 232,621.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.