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Finding the Third Proportional to 89,145.13 and 195,786.25

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Solution

The third proportional to 89,145.13 and 195,786.25 is: 429,998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,145.13 : 195,786.25 = 195,786.25 : x
  2. Step 2: Convert to fraction form
    89,145.13/195,786.25 = 195,786.25/x
  3. Step 3: Cross multiply
    89,145.13x = 195,786.25 × 195,786.25
  4. Step 4: Simplify right side
    89,145.13x = 38,332,255,689.06
  5. Step 5: Solve for x
    x = 38,332,255,689.06/89,145.13
  6. Step 6: Final answer
    x = 429,998.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.