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Finding the Third Proportional to 199,882.69 and 444,052.13

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Solution

The third proportional to 199,882.69 and 444,052.13 is: 986,490.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,882.69 : 444,052.13 = 444,052.13 : x
  2. Step 2: Convert to fraction form
    199,882.69/444,052.13 = 444,052.13/x
  3. Step 3: Cross multiply
    199,882.69x = 444,052.13 × 444,052.13
  4. Step 4: Simplify right side
    199,882.69x = 197,182,289,717.02
  5. Step 5: Solve for x
    x = 197,182,289,717.02/199,882.69
  6. Step 6: Final answer
    x = 986,490.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.