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Finding the Third Proportional to 109,055.81 and 228,043.69

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Solution

The third proportional to 109,055.81 and 228,043.69 is: 476,856.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,055.81 : 228,043.69 = 228,043.69 : x
  2. Step 2: Convert to fraction form
    109,055.81/228,043.69 = 228,043.69/x
  3. Step 3: Cross multiply
    109,055.81x = 228,043.69 × 228,043.69
  4. Step 4: Simplify right side
    109,055.81x = 52,003,923,408.60
  5. Step 5: Solve for x
    x = 52,003,923,408.60/109,055.81
  6. Step 6: Final answer
    x = 476,856.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.