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Finding the Third Proportional to 107,888 and 228,112

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Solution

The third proportional to 107,888 and 228,112 is: 482,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,888 : 228,112 = 228,112 : x
  2. Step 2: Convert to fraction form
    107,888/228,112 = 228,112/x
  3. Step 3: Cross multiply
    107,888x = 228,112 × 228,112
  4. Step 4: Simplify right side
    107,888x = 52,035,084,544
  5. Step 5: Solve for x
    x = 52,035,084,544/107,888
  6. Step 6: Final answer
    x = 482,306.51

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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.