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Finding the Third Proportional to 208,099.13 and 447,780.66

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Solution

The third proportional to 208,099.13 and 447,780.66 is: 963,519.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,099.13 : 447,780.66 = 447,780.66 : x
  2. Step 2: Convert to fraction form
    208,099.13/447,780.66 = 447,780.66/x
  3. Step 3: Cross multiply
    208,099.13x = 447,780.66 × 447,780.66
  4. Step 4: Simplify right side
    208,099.13x = 200,507,516,111.68
  5. Step 5: Solve for x
    x = 200,507,516,111.68/208,099.13
  6. Step 6: Final answer
    x = 963,519.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.