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Finding the Third Proportional to 92,917.13 and 206,231.06

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Solution

The third proportional to 92,917.13 and 206,231.06 is: 457,733.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,917.13 : 206,231.06 = 206,231.06 : x
  2. Step 2: Convert to fraction form
    92,917.13/206,231.06 = 206,231.06/x
  3. Step 3: Cross multiply
    92,917.13x = 206,231.06 × 206,231.06
  4. Step 4: Simplify right side
    92,917.13x = 42,531,251,139.88
  5. Step 5: Solve for x
    x = 42,531,251,139.88/92,917.13
  6. Step 6: Final answer
    x = 457,733.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.