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Finding the Third Proportional to 106,227.28 and 228,242.81

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Solution

The third proportional to 106,227.28 and 228,242.81 is: 490,408.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,227.28 : 228,242.81 = 228,242.81 : x
  2. Step 2: Convert to fraction form
    106,227.28/228,242.81 = 228,242.81/x
  3. Step 3: Cross multiply
    106,227.28x = 228,242.81 × 228,242.81
  4. Step 4: Simplify right side
    106,227.28x = 52,094,781,457.91
  5. Step 5: Solve for x
    x = 52,094,781,457.91/106,227.28
  6. Step 6: Final answer
    x = 490,408.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.