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Finding the Third Proportional to 107,200.13 and 228,636

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Solution

The third proportional to 107,200.13 and 228,636 is: 487,633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,200.13 : 228,636 = 228,636 : x
  2. Step 2: Convert to fraction form
    107,200.13/228,636 = 228,636/x
  3. Step 3: Cross multiply
    107,200.13x = 228,636 × 228,636
  4. Step 4: Simplify right side
    107,200.13x = 52,274,420,496
  5. Step 5: Solve for x
    x = 52,274,420,496/107,200.13
  6. Step 6: Final answer
    x = 487,633.95

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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.