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Finding the Third Proportional to 111,911 and 228,991

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Solution

The third proportional to 111,911 and 228,991 is: 468,558.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,911 : 228,991 = 228,991 : x
  2. Step 2: Convert to fraction form
    111,911/228,991 = 228,991/x
  3. Step 3: Cross multiply
    111,911x = 228,991 × 228,991
  4. Step 4: Simplify right side
    111,911x = 52,436,878,081
  5. Step 5: Solve for x
    x = 52,436,878,081/111,911
  6. Step 6: Final answer
    x = 468,558.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.