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Finding the Third Proportional to 111,161.11 and 166,436.02

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Solution

The third proportional to 111,161.11 and 166,436.02 is: 249,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,161.11 : 166,436.02 = 166,436.02 : x
  2. Step 2: Convert to fraction form
    111,161.11/166,436.02 = 166,436.02/x
  3. Step 3: Cross multiply
    111,161.11x = 166,436.02 × 166,436.02
  4. Step 4: Simplify right side
    111,161.11x = 27,700,947,297.13
  5. Step 5: Solve for x
    x = 27,700,947,297.13/111,161.11
  6. Step 6: Final answer
    x = 249,196.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.