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Finding the Third Proportional to 208,144.69 and 447,863.34

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Solution

The third proportional to 208,144.69 and 447,863.34 is: 963,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,144.69 : 447,863.34 = 447,863.34 : x
  2. Step 2: Convert to fraction form
    208,144.69/447,863.34 = 447,863.34/x
  3. Step 3: Cross multiply
    208,144.69x = 447,863.34 × 447,863.34
  4. Step 4: Simplify right side
    208,144.69x = 200,581,574,674.93
  5. Step 5: Solve for x
    x = 200,581,574,674.93/208,144.69
  6. Step 6: Final answer
    x = 963,664.16

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