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Finding the Third Proportional to 96,050 and 206,896

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Solution

The third proportional to 96,050 and 206,896 is: 445,663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,050 : 206,896 = 206,896 : x
  2. Step 2: Convert to fraction form
    96,050/206,896 = 206,896/x
  3. Step 3: Cross multiply
    96,050x = 206,896 × 206,896
  4. Step 4: Simplify right side
    96,050x = 42,805,954,816
  5. Step 5: Solve for x
    x = 42,805,954,816/96,050
  6. Step 6: Final answer
    x = 445,663.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.