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Finding the Third Proportional to 110,101.78 and 169,800.05

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Solution

The third proportional to 110,101.78 and 169,800.05 is: 261,867.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,101.78 : 169,800.05 = 169,800.05 : x
  2. Step 2: Convert to fraction form
    110,101.78/169,800.05 = 169,800.05/x
  3. Step 3: Cross multiply
    110,101.78x = 169,800.05 × 169,800.05
  4. Step 4: Simplify right side
    110,101.78x = 28,832,055,918.75
  5. Step 5: Solve for x
    x = 28,832,055,918.75/110,101.78
  6. Step 6: Final answer
    x = 261,867.30

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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.