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Finding the Third Proportional to 116,883 and 188,233.88

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Solution

The third proportional to 116,883 and 188,233.88 is: 303,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,883 : 188,233.88 = 188,233.88 : x
  2. Step 2: Convert to fraction form
    116,883/188,233.88 = 188,233.88/x
  3. Step 3: Cross multiply
    116,883x = 188,233.88 × 188,233.88
  4. Step 4: Simplify right side
    116,883x = 35,431,991,697.52
  5. Step 5: Solve for x
    x = 35,431,991,697.52/116,883
  6. Step 6: Final answer
    x = 303,140.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.