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Finding the Third Proportional to 110,289.38 and 164,993.63

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Solution

The third proportional to 110,289.38 and 164,993.63 is: 246,831.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,289.38 : 164,993.63 = 164,993.63 : x
  2. Step 2: Convert to fraction form
    110,289.38/164,993.63 = 164,993.63/x
  3. Step 3: Cross multiply
    110,289.38x = 164,993.63 × 164,993.63
  4. Step 4: Simplify right side
    110,289.38x = 27,222,896,290.64
  5. Step 5: Solve for x
    x = 27,222,896,290.64/110,289.38
  6. Step 6: Final answer
    x = 246,831.54

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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.