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Finding the Third Proportional to 107,193 and 228,625.50

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Solution

The third proportional to 107,193 and 228,625.50 is: 487,621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,193 : 228,625.50 = 228,625.50 : x
  2. Step 2: Convert to fraction form
    107,193/228,625.50 = 228,625.50/x
  3. Step 3: Cross multiply
    107,193x = 228,625.50 × 228,625.50
  4. Step 4: Simplify right side
    107,193x = 52,269,619,250.25
  5. Step 5: Solve for x
    x = 52,269,619,250.25/107,193
  6. Step 6: Final answer
    x = 487,621.57

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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.