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Finding the Third Proportional to 106,977.94 and 225,893.81

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Solution

The third proportional to 106,977.94 and 225,893.81 is: 476,995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,977.94 : 225,893.81 = 225,893.81 : x
  2. Step 2: Convert to fraction form
    106,977.94/225,893.81 = 225,893.81/x
  3. Step 3: Cross multiply
    106,977.94x = 225,893.81 × 225,893.81
  4. Step 4: Simplify right side
    106,977.94x = 51,028,014,525.79
  5. Step 5: Solve for x
    x = 51,028,014,525.79/106,977.94
  6. Step 6: Final answer
    x = 476,995.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.