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Finding the Third Proportional to 102,120.75 and 223,620.75

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Solution

The third proportional to 102,120.75 and 223,620.75 is: 489,677.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,120.75 : 223,620.75 = 223,620.75 : x
  2. Step 2: Convert to fraction form
    102,120.75/223,620.75 = 223,620.75/x
  3. Step 3: Cross multiply
    102,120.75x = 223,620.75 × 223,620.75
  4. Step 4: Simplify right side
    102,120.75x = 50,006,239,830.56
  5. Step 5: Solve for x
    x = 50,006,239,830.56/102,120.75
  6. Step 6: Final answer
    x = 489,677.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.