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Finding the Third Proportional to 89,400.38 and 195,409.13

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Solution

The third proportional to 89,400.38 and 195,409.13 is: 427,120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,400.38 : 195,409.13 = 195,409.13 : x
  2. Step 2: Convert to fraction form
    89,400.38/195,409.13 = 195,409.13/x
  3. Step 3: Cross multiply
    89,400.38x = 195,409.13 × 195,409.13
  4. Step 4: Simplify right side
    89,400.38x = 38,184,726,133.27
  5. Step 5: Solve for x
    x = 38,184,726,133.27/89,400.38
  6. Step 6: Final answer
    x = 427,120.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.