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Finding the Third Proportional to 208,093.75 and 447,769.90

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Solution

The third proportional to 208,093.75 and 447,769.90 is: 963,497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,093.75 : 447,769.90 = 447,769.90 : x
  2. Step 2: Convert to fraction form
    208,093.75/447,769.90 = 447,769.90/x
  3. Step 3: Cross multiply
    208,093.75x = 447,769.90 × 447,769.90
  4. Step 4: Simplify right side
    208,093.75x = 200,497,881,946.73
  5. Step 5: Solve for x
    x = 200,497,881,946.73/208,093.75
  6. Step 6: Final answer
    x = 963,497.87

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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.