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Finding the Third Proportional to 116,935 and 188,319

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Solution

The third proportional to 116,935 and 188,319 is: 303,279.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,935 : 188,319 = 188,319 : x
  2. Step 2: Convert to fraction form
    116,935/188,319 = 188,319/x
  3. Step 3: Cross multiply
    116,935x = 188,319 × 188,319
  4. Step 4: Simplify right side
    116,935x = 35,464,045,761
  5. Step 5: Solve for x
    x = 35,464,045,761/116,935
  6. Step 6: Final answer
    x = 303,279.99

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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.