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Finding the Third Proportional to 96,945 and 205,068

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Solution

The third proportional to 96,945 and 205,068 is: 433,780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,945 : 205,068 = 205,068 : x
  2. Step 2: Convert to fraction form
    96,945/205,068 = 205,068/x
  3. Step 3: Cross multiply
    96,945x = 205,068 × 205,068
  4. Step 4: Simplify right side
    96,945x = 42,052,884,624
  5. Step 5: Solve for x
    x = 42,052,884,624/96,945
  6. Step 6: Final answer
    x = 433,780.85

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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.