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Finding the Third Proportional to 106,009.17 and 228,625.86

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Solution

The third proportional to 106,009.17 and 228,625.86 is: 493,068.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,009.17 : 228,625.86 = 228,625.86 : x
  2. Step 2: Convert to fraction form
    106,009.17/228,625.86 = 228,625.86/x
  3. Step 3: Cross multiply
    106,009.17x = 228,625.86 × 228,625.86
  4. Step 4: Simplify right side
    106,009.17x = 52,269,784,691.30
  5. Step 5: Solve for x
    x = 52,269,784,691.30/106,009.17
  6. Step 6: Final answer
    x = 493,068.54

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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.