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Finding the Third Proportional to 107,204.77 and 228,659.20

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Solution

The third proportional to 107,204.77 and 228,659.20 is: 487,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,204.77 : 228,659.20 = 228,659.20 : x
  2. Step 2: Convert to fraction form
    107,204.77/228,659.20 = 228,659.20/x
  3. Step 3: Cross multiply
    107,204.77x = 228,659.20 × 228,659.20
  4. Step 4: Simplify right side
    107,204.77x = 52,285,031,173.76
  5. Step 5: Solve for x
    x = 52,285,031,173.76/107,204.77
  6. Step 6: Final answer
    x = 487,711.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.