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Finding the Third Proportional to 108,198.75 and 151,332.75

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Solution

The third proportional to 108,198.75 and 151,332.75 is: 211,662.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,198.75 : 151,332.75 = 151,332.75 : x
  2. Step 2: Convert to fraction form
    108,198.75/151,332.75 = 151,332.75/x
  3. Step 3: Cross multiply
    108,198.75x = 151,332.75 × 151,332.75
  4. Step 4: Simplify right side
    108,198.75x = 22,901,601,222.56
  5. Step 5: Solve for x
    x = 22,901,601,222.56/108,198.75
  6. Step 6: Final answer
    x = 211,662.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.