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Finding the Third Proportional to 108,955.13 and 169,406.44

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Solution

The third proportional to 108,955.13 and 169,406.44 is: 263,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,955.13 : 169,406.44 = 169,406.44 : x
  2. Step 2: Convert to fraction form
    108,955.13/169,406.44 = 169,406.44/x
  3. Step 3: Cross multiply
    108,955.13x = 169,406.44 × 169,406.44
  4. Step 4: Simplify right side
    108,955.13x = 28,698,541,066.44
  5. Step 5: Solve for x
    x = 28,698,541,066.44/108,955.13
  6. Step 6: Final answer
    x = 263,397.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.