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Finding the Third Proportional to 96,626.25 and 206,091

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Solution

The third proportional to 96,626.25 and 206,091 is: 439,564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,626.25 : 206,091 = 206,091 : x
  2. Step 2: Convert to fraction form
    96,626.25/206,091 = 206,091/x
  3. Step 3: Cross multiply
    96,626.25x = 206,091 × 206,091
  4. Step 4: Simplify right side
    96,626.25x = 42,473,500,281
  5. Step 5: Solve for x
    x = 42,473,500,281/96,626.25
  6. Step 6: Final answer
    x = 439,564.82

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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.