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Finding the Third Proportional to 102,331.69 and 218,690.72

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Solution

The third proportional to 102,331.69 and 218,690.72 is: 467,358.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,331.69 : 218,690.72 = 218,690.72 : x
  2. Step 2: Convert to fraction form
    102,331.69/218,690.72 = 218,690.72/x
  3. Step 3: Cross multiply
    102,331.69x = 218,690.72 × 218,690.72
  4. Step 4: Simplify right side
    102,331.69x = 47,825,630,467.39
  5. Step 5: Solve for x
    x = 47,825,630,467.39/102,331.69
  6. Step 6: Final answer
    x = 467,358.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.