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Finding the Third Proportional to 106,115.06 and 228,761.72

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Solution

The third proportional to 106,115.06 and 228,761.72 is: 493,162.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,115.06 : 228,761.72 = 228,761.72 : x
  2. Step 2: Convert to fraction form
    106,115.06/228,761.72 = 228,761.72/x
  3. Step 3: Cross multiply
    106,115.06x = 228,761.72 × 228,761.72
  4. Step 4: Simplify right side
    106,115.06x = 52,331,923,965.45
  5. Step 5: Solve for x
    x = 52,331,923,965.45/106,115.06
  6. Step 6: Final answer
    x = 493,162.07

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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.