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Finding the Third Proportional to 96,090.75 and 206,395.88

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Solution

The third proportional to 96,090.75 and 206,395.88 is: 443,323.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,090.75 : 206,395.88 = 206,395.88 : x
  2. Step 2: Convert to fraction form
    96,090.75/206,395.88 = 206,395.88/x
  3. Step 3: Cross multiply
    96,090.75x = 206,395.88 × 206,395.88
  4. Step 4: Simplify right side
    96,090.75x = 42,599,257,217.02
  5. Step 5: Solve for x
    x = 42,599,257,217.02/96,090.75
  6. Step 6: Final answer
    x = 443,323.18

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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.