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Finding the Third Proportional to 109,628.44 and 164,002.22

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Solution

The third proportional to 109,628.44 and 164,002.22 is: 245,344.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,628.44 : 164,002.22 = 164,002.22 : x
  2. Step 2: Convert to fraction form
    109,628.44/164,002.22 = 164,002.22/x
  3. Step 3: Cross multiply
    109,628.44x = 164,002.22 × 164,002.22
  4. Step 4: Simplify right side
    109,628.44x = 26,896,727,754.92
  5. Step 5: Solve for x
    x = 26,896,727,754.92/109,628.44
  6. Step 6: Final answer
    x = 245,344.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.