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Finding the Third Proportional to 107,890 and 228,116

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Solution

The third proportional to 107,890 and 228,116 is: 482,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,890 : 228,116 = 228,116 : x
  2. Step 2: Convert to fraction form
    107,890/228,116 = 228,116/x
  3. Step 3: Cross multiply
    107,890x = 228,116 × 228,116
  4. Step 4: Simplify right side
    107,890x = 52,036,909,456
  5. Step 5: Solve for x
    x = 52,036,909,456/107,890
  6. Step 6: Final answer
    x = 482,314.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.