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Finding the Third Proportional to 208,193.63 and 447,960.38

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Solution

The third proportional to 208,193.63 and 447,960.38 is: 963,855.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,193.63 : 447,960.38 = 447,960.38 : x
  2. Step 2: Convert to fraction form
    208,193.63/447,960.38 = 447,960.38/x
  3. Step 3: Cross multiply
    208,193.63x = 447,960.38 × 447,960.38
  4. Step 4: Simplify right side
    208,193.63x = 200,668,497,570.14
  5. Step 5: Solve for x
    x = 200,668,497,570.14/208,193.63
  6. Step 6: Final answer
    x = 963,855.15

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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.