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Finding the Third Proportional to 67,690.69 and 146,680.88

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Solution

The third proportional to 67,690.69 and 146,680.88 is: 317,846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,690.69 : 146,680.88 = 146,680.88 : x
  2. Step 2: Convert to fraction form
    67,690.69/146,680.88 = 146,680.88/x
  3. Step 3: Cross multiply
    67,690.69x = 146,680.88 × 146,680.88
  4. Step 4: Simplify right side
    67,690.69x = 21,515,279,090.77
  5. Step 5: Solve for x
    x = 21,515,279,090.77/67,690.69
  6. Step 6: Final answer
    x = 317,846.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.