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Finding the Third Proportional to 96,784 and 208,399

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Solution

The third proportional to 96,784 and 208,399 is: 448,732.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,784 : 208,399 = 208,399 : x
  2. Step 2: Convert to fraction form
    96,784/208,399 = 208,399/x
  3. Step 3: Cross multiply
    96,784x = 208,399 × 208,399
  4. Step 4: Simplify right side
    96,784x = 43,430,143,201
  5. Step 5: Solve for x
    x = 43,430,143,201/96,784
  6. Step 6: Final answer
    x = 448,732.67

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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.