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Finding the Third Proportional to 106,388.44 and 225,762.19

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Solution

The third proportional to 106,388.44 and 225,762.19 is: 479,079.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,388.44 : 225,762.19 = 225,762.19 : x
  2. Step 2: Convert to fraction form
    106,388.44/225,762.19 = 225,762.19/x
  3. Step 3: Cross multiply
    106,388.44x = 225,762.19 × 225,762.19
  4. Step 4: Simplify right side
    106,388.44x = 50,968,565,304.79
  5. Step 5: Solve for x
    x = 50,968,565,304.79/106,388.44
  6. Step 6: Final answer
    x = 479,079.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.