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Finding the Third Proportional to 195,609.09 and 412,234.31

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Solution

The third proportional to 195,609.09 and 412,234.31 is: 868,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,609.09 : 412,234.31 = 412,234.31 : x
  2. Step 2: Convert to fraction form
    195,609.09/412,234.31 = 412,234.31/x
  3. Step 3: Cross multiply
    195,609.09x = 412,234.31 × 412,234.31
  4. Step 4: Simplify right side
    195,609.09x = 169,937,128,402.35
  5. Step 5: Solve for x
    x = 169,937,128,402.35/195,609.09
  6. Step 6: Final answer
    x = 868,758.84

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.