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Finding the Third Proportional to 96,961.50 and 205,661.25

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Solution

The third proportional to 96,961.50 and 205,661.25 is: 436,220.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,961.50 : 205,661.25 = 205,661.25 : x
  2. Step 2: Convert to fraction form
    96,961.50/205,661.25 = 205,661.25/x
  3. Step 3: Cross multiply
    96,961.50x = 205,661.25 × 205,661.25
  4. Step 4: Simplify right side
    96,961.50x = 42,296,549,751.56
  5. Step 5: Solve for x
    x = 42,296,549,751.56/96,961.50
  6. Step 6: Final answer
    x = 436,220.04

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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.