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Finding the Third Proportional to 96,616.13 and 206,074.13

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Solution

The third proportional to 96,616.13 and 206,074.13 is: 439,538.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,616.13 : 206,074.13 = 206,074.13 : x
  2. Step 2: Convert to fraction form
    96,616.13/206,074.13 = 206,074.13/x
  3. Step 3: Cross multiply
    96,616.13x = 206,074.13 × 206,074.13
  4. Step 4: Simplify right side
    96,616.13x = 42,466,544,994.52
  5. Step 5: Solve for x
    x = 42,466,544,994.52/96,616.13
  6. Step 6: Final answer
    x = 439,538.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.