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Finding the Third Proportional to 108,840.19 and 168,112.69

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Solution

The third proportional to 108,840.19 and 168,112.69 is: 259,663.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,840.19 : 168,112.69 = 168,112.69 : x
  2. Step 2: Convert to fraction form
    108,840.19/168,112.69 = 168,112.69/x
  3. Step 3: Cross multiply
    108,840.19x = 168,112.69 × 168,112.69
  4. Step 4: Simplify right side
    108,840.19x = 28,261,875,698.47
  5. Step 5: Solve for x
    x = 28,261,875,698.47/108,840.19
  6. Step 6: Final answer
    x = 259,663.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.