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Finding the Third Proportional to 95,792.63 and 206,200.69

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Solution

The third proportional to 95,792.63 and 206,200.69 is: 443,862.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,792.63 : 206,200.69 = 206,200.69 : x
  2. Step 2: Convert to fraction form
    95,792.63/206,200.69 = 206,200.69/x
  3. Step 3: Cross multiply
    95,792.63x = 206,200.69 × 206,200.69
  4. Step 4: Simplify right side
    95,792.63x = 42,518,723,525.47
  5. Step 5: Solve for x
    x = 42,518,723,525.47/95,792.63
  6. Step 6: Final answer
    x = 443,862.18

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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.