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Finding the Third Proportional to 109,441.13 and 235,755.56

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Solution

The third proportional to 109,441.13 and 235,755.56 is: 507,859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,441.13 : 235,755.56 = 235,755.56 : x
  2. Step 2: Convert to fraction form
    109,441.13/235,755.56 = 235,755.56/x
  3. Step 3: Cross multiply
    109,441.13x = 235,755.56 × 235,755.56
  4. Step 4: Simplify right side
    109,441.13x = 55,580,685,249.69
  5. Step 5: Solve for x
    x = 55,580,685,249.69/109,441.13
  6. Step 6: Final answer
    x = 507,859.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.