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Finding the Third Proportional to 81,091.13 and 186,649.31

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Solution

The third proportional to 81,091.13 and 186,649.31 is: 429,615.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,091.13 : 186,649.31 = 186,649.31 : x
  2. Step 2: Convert to fraction form
    81,091.13/186,649.31 = 186,649.31/x
  3. Step 3: Cross multiply
    81,091.13x = 186,649.31 × 186,649.31
  4. Step 4: Simplify right side
    81,091.13x = 34,837,965,856.72
  5. Step 5: Solve for x
    x = 34,837,965,856.72/81,091.13
  6. Step 6: Final answer
    x = 429,615.03

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.