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Finding the Third Proportional to 110,221.88 and 164,903.63

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Solution

The third proportional to 110,221.88 and 164,903.63 is: 246,713.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,221.88 : 164,903.63 = 164,903.63 : x
  2. Step 2: Convert to fraction form
    110,221.88/164,903.63 = 164,903.63/x
  3. Step 3: Cross multiply
    110,221.88x = 164,903.63 × 164,903.63
  4. Step 4: Simplify right side
    110,221.88x = 27,193,205,538.14
  5. Step 5: Solve for x
    x = 27,193,205,538.14/110,221.88
  6. Step 6: Final answer
    x = 246,713.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.