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Finding the Third Proportional to 96,784.50 and 208,401

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Solution

The third proportional to 96,784.50 and 208,401 is: 448,738.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,784.50 : 208,401 = 208,401 : x
  2. Step 2: Convert to fraction form
    96,784.50/208,401 = 208,401/x
  3. Step 3: Cross multiply
    96,784.50x = 208,401 × 208,401
  4. Step 4: Simplify right side
    96,784.50x = 43,430,976,801
  5. Step 5: Solve for x
    x = 43,430,976,801/96,784.50
  6. Step 6: Final answer
    x = 448,738.97

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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.