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Finding the Third Proportional to 109,189.69 and 231,499.69

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Solution

The third proportional to 109,189.69 and 231,499.69 is: 490,816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,189.69 : 231,499.69 = 231,499.69 : x
  2. Step 2: Convert to fraction form
    109,189.69/231,499.69 = 231,499.69/x
  3. Step 3: Cross multiply
    109,189.69x = 231,499.69 × 231,499.69
  4. Step 4: Simplify right side
    109,189.69x = 53,592,105,312.60
  5. Step 5: Solve for x
    x = 53,592,105,312.60/109,189.69
  6. Step 6: Final answer
    x = 490,816.55

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.