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Finding the Third Proportional to 89,220.38 and 192,368.25

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Solution

The third proportional to 89,220.38 and 192,368.25 is: 414,765.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,220.38 : 192,368.25 = 192,368.25 : x
  2. Step 2: Convert to fraction form
    89,220.38/192,368.25 = 192,368.25/x
  3. Step 3: Cross multiply
    89,220.38x = 192,368.25 × 192,368.25
  4. Step 4: Simplify right side
    89,220.38x = 37,005,543,608.06
  5. Step 5: Solve for x
    x = 37,005,543,608.06/89,220.38
  6. Step 6: Final answer
    x = 414,765.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.