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Finding the Third Proportional to 116,933.88 and 188,320.38

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Solution

The third proportional to 116,933.88 and 188,320.38 is: 303,287.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,933.88 : 188,320.38 = 188,320.38 : x
  2. Step 2: Convert to fraction form
    116,933.88/188,320.38 = 188,320.38/x
  3. Step 3: Cross multiply
    116,933.88x = 188,320.38 × 188,320.38
  4. Step 4: Simplify right side
    116,933.88x = 35,464,563,640.14
  5. Step 5: Solve for x
    x = 35,464,563,640.14/116,933.88
  6. Step 6: Final answer
    x = 303,287.34

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