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Finding the Third Proportional to 83,926.13 and 208,357.31

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Solution

The third proportional to 83,926.13 and 208,357.31 is: 517,273.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,926.13 : 208,357.31 = 208,357.31 : x
  2. Step 2: Convert to fraction form
    83,926.13/208,357.31 = 208,357.31/x
  3. Step 3: Cross multiply
    83,926.13x = 208,357.31 × 208,357.31
  4. Step 4: Simplify right side
    83,926.13x = 43,412,769,672.22
  5. Step 5: Solve for x
    x = 43,412,769,672.22/83,926.13
  6. Step 6: Final answer
    x = 517,273.61

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.