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Finding the Third Proportional to 116,932 and 188,319.50

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Solution

The third proportional to 116,932 and 188,319.50 is: 303,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,932 : 188,319.50 = 188,319.50 : x
  2. Step 2: Convert to fraction form
    116,932/188,319.50 = 188,319.50/x
  3. Step 3: Cross multiply
    116,932x = 188,319.50 × 188,319.50
  4. Step 4: Simplify right side
    116,932x = 35,464,234,080.25
  5. Step 5: Solve for x
    x = 35,464,234,080.25/116,932
  6. Step 6: Final answer
    x = 303,289.38

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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.