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Finding the Third Proportional to 96,209.50 and 222,699.75

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Solution

The third proportional to 96,209.50 and 222,699.75 is: 515,491.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,209.50 : 222,699.75 = 222,699.75 : x
  2. Step 2: Convert to fraction form
    96,209.50/222,699.75 = 222,699.75/x
  3. Step 3: Cross multiply
    96,209.50x = 222,699.75 × 222,699.75
  4. Step 4: Simplify right side
    96,209.50x = 49,595,178,650.06
  5. Step 5: Solve for x
    x = 49,595,178,650.06/96,209.50
  6. Step 6: Final answer
    x = 515,491.49

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.