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Finding the Third Proportional to 95,982.47 and 206,681.63

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Solution

The third proportional to 95,982.47 and 206,681.63 is: 445,053.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,982.47 : 206,681.63 = 206,681.63 : x
  2. Step 2: Convert to fraction form
    95,982.47/206,681.63 = 206,681.63/x
  3. Step 3: Cross multiply
    95,982.47x = 206,681.63 × 206,681.63
  4. Step 4: Simplify right side
    95,982.47x = 42,717,294,112.64
  5. Step 5: Solve for x
    x = 42,717,294,112.64/95,982.47
  6. Step 6: Final answer
    x = 445,053.09

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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.