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Finding the Third Proportional to 108,657.91 and 166,216.43

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Solution

The third proportional to 108,657.91 and 166,216.43 is: 254,264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,657.91 : 166,216.43 = 166,216.43 : x
  2. Step 2: Convert to fraction form
    108,657.91/166,216.43 = 166,216.43/x
  3. Step 3: Cross multiply
    108,657.91x = 166,216.43 × 166,216.43
  4. Step 4: Simplify right side
    108,657.91x = 27,627,901,498.06
  5. Step 5: Solve for x
    x = 27,627,901,498.06/108,657.91
  6. Step 6: Final answer
    x = 254,264.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.