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Finding the Third Proportional to 96,950.25 and 205,638.75

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Solution

The third proportional to 96,950.25 and 205,638.75 is: 436,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,950.25 : 205,638.75 = 205,638.75 : x
  2. Step 2: Convert to fraction form
    96,950.25/205,638.75 = 205,638.75/x
  3. Step 3: Cross multiply
    96,950.25x = 205,638.75 × 205,638.75
  4. Step 4: Simplify right side
    96,950.25x = 42,287,295,501.56
  5. Step 5: Solve for x
    x = 42,287,295,501.56/96,950.25
  6. Step 6: Final answer
    x = 436,175.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.