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Finding the Third Proportional to 83,074.08 and 182,231.58

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Solution

The third proportional to 83,074.08 and 182,231.58 is: 399,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,074.08 : 182,231.58 = 182,231.58 : x
  2. Step 2: Convert to fraction form
    83,074.08/182,231.58 = 182,231.58/x
  3. Step 3: Cross multiply
    83,074.08x = 182,231.58 × 182,231.58
  4. Step 4: Simplify right side
    83,074.08x = 33,208,348,065.93
  5. Step 5: Solve for x
    x = 33,208,348,065.93/83,074.08
  6. Step 6: Final answer
    x = 399,743.80

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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.