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Finding the Third Proportional to 109,441.13 and 225,807.75

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Solution

The third proportional to 109,441.13 and 225,807.75 is: 465,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,441.13 : 225,807.75 = 225,807.75 : x
  2. Step 2: Convert to fraction form
    109,441.13/225,807.75 = 225,807.75/x
  3. Step 3: Cross multiply
    109,441.13x = 225,807.75 × 225,807.75
  4. Step 4: Simplify right side
    109,441.13x = 50,989,139,960.06
  5. Step 5: Solve for x
    x = 50,989,139,960.06/109,441.13
  6. Step 6: Final answer
    x = 465,904.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.