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Finding the Third Proportional to 104,223.38 and 227,515.50

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Solution

The third proportional to 104,223.38 and 227,515.50 is: 496,657.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,223.38 : 227,515.50 = 227,515.50 : x
  2. Step 2: Convert to fraction form
    104,223.38/227,515.50 = 227,515.50/x
  3. Step 3: Cross multiply
    104,223.38x = 227,515.50 × 227,515.50
  4. Step 4: Simplify right side
    104,223.38x = 51,763,302,740.25
  5. Step 5: Solve for x
    x = 51,763,302,740.25/104,223.38
  6. Step 6: Final answer
    x = 496,657.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.