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Finding the Third Proportional to 96,975 and 213,391.50

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Solution

The third proportional to 96,975 and 213,391.50 is: 469,563.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,975 : 213,391.50 = 213,391.50 : x
  2. Step 2: Convert to fraction form
    96,975/213,391.50 = 213,391.50/x
  3. Step 3: Cross multiply
    96,975x = 213,391.50 × 213,391.50
  4. Step 4: Simplify right side
    96,975x = 45,535,932,272.25
  5. Step 5: Solve for x
    x = 45,535,932,272.25/96,975
  6. Step 6: Final answer
    x = 469,563.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.