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Finding the Third Proportional to 106,708.50 and 228,630.75

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Solution

The third proportional to 106,708.50 and 228,630.75 is: 489,858.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,708.50 : 228,630.75 = 228,630.75 : x
  2. Step 2: Convert to fraction form
    106,708.50/228,630.75 = 228,630.75/x
  3. Step 3: Cross multiply
    106,708.50x = 228,630.75 × 228,630.75
  4. Step 4: Simplify right side
    106,708.50x = 52,272,019,845.56
  5. Step 5: Solve for x
    x = 52,272,019,845.56/106,708.50
  6. Step 6: Final answer
    x = 489,858.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.