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Finding the Third Proportional to 85,498.03 and 188,514.84

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Solution

The third proportional to 85,498.03 and 188,514.84 is: 415,656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,498.03 : 188,514.84 = 188,514.84 : x
  2. Step 2: Convert to fraction form
    85,498.03/188,514.84 = 188,514.84/x
  3. Step 3: Cross multiply
    85,498.03x = 188,514.84 × 188,514.84
  4. Step 4: Simplify right side
    85,498.03x = 35,537,846,314.09
  5. Step 5: Solve for x
    x = 35,537,846,314.09/85,498.03
  6. Step 6: Final answer
    x = 415,656.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.