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Finding the Third Proportional to 106,049.81 and 228,704.63

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Solution

The third proportional to 106,049.81 and 228,704.63 is: 493,219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,049.81 : 228,704.63 = 228,704.63 : x
  2. Step 2: Convert to fraction form
    106,049.81/228,704.63 = 228,704.63/x
  3. Step 3: Cross multiply
    106,049.81x = 228,704.63 × 228,704.63
  4. Step 4: Simplify right side
    106,049.81x = 52,305,805,496.39
  5. Step 5: Solve for x
    x = 52,305,805,496.39/106,049.81
  6. Step 6: Final answer
    x = 493,219.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.