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Finding the Third Proportional to 106,186.50 and 228,115

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Solution

The third proportional to 106,186.50 and 228,115 is: 490,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,186.50 : 228,115 = 228,115 : x
  2. Step 2: Convert to fraction form
    106,186.50/228,115 = 228,115/x
  3. Step 3: Cross multiply
    106,186.50x = 228,115 × 228,115
  4. Step 4: Simplify right side
    106,186.50x = 52,036,453,225
  5. Step 5: Solve for x
    x = 52,036,453,225/106,186.50
  6. Step 6: Final answer
    x = 490,047.73

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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.