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Finding the Third Proportional to 94,350 and 206,199

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Solution

The third proportional to 94,350 and 206,199 is: 450,641.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,350 : 206,199 = 206,199 : x
  2. Step 2: Convert to fraction form
    94,350/206,199 = 206,199/x
  3. Step 3: Cross multiply
    94,350x = 206,199 × 206,199
  4. Step 4: Simplify right side
    94,350x = 42,518,027,601
  5. Step 5: Solve for x
    x = 42,518,027,601/94,350
  6. Step 6: Final answer
    x = 450,641.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.