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Finding the Third Proportional to 89,236.69 and 187,228.13

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Solution

The third proportional to 89,236.69 and 187,228.13 is: 392,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,236.69 : 187,228.13 = 187,228.13 : x
  2. Step 2: Convert to fraction form
    89,236.69/187,228.13 = 187,228.13/x
  3. Step 3: Cross multiply
    89,236.69x = 187,228.13 × 187,228.13
  4. Step 4: Simplify right side
    89,236.69x = 35,054,370,791.02
  5. Step 5: Solve for x
    x = 35,054,370,791.02/89,236.69
  6. Step 6: Final answer
    x = 392,824.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.