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Finding the Third Proportional to 96,103.50 and 206,415

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Solution

The third proportional to 96,103.50 and 206,415 is: 443,346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,103.50 : 206,415 = 206,415 : x
  2. Step 2: Convert to fraction form
    96,103.50/206,415 = 206,415/x
  3. Step 3: Cross multiply
    96,103.50x = 206,415 × 206,415
  4. Step 4: Simplify right side
    96,103.50x = 42,607,152,225
  5. Step 5: Solve for x
    x = 42,607,152,225/96,103.50
  6. Step 6: Final answer
    x = 443,346.52

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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.