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Finding the Third Proportional to 109,441.13 and 235,767.38

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Solution

The third proportional to 109,441.13 and 235,767.38 is: 507,910.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,441.13 : 235,767.38 = 235,767.38 : x
  2. Step 2: Convert to fraction form
    109,441.13/235,767.38 = 235,767.38/x
  3. Step 3: Cross multiply
    109,441.13x = 235,767.38 × 235,767.38
  4. Step 4: Simplify right side
    109,441.13x = 55,586,255,114.39
  5. Step 5: Solve for x
    x = 55,586,255,114.39/109,441.13
  6. Step 6: Final answer
    x = 507,910.12

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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.