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Finding the Third Proportional to 96,403.50 and 197,505

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Solution

The third proportional to 96,403.50 and 197,505 is: 404,634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,403.50 : 197,505 = 197,505 : x
  2. Step 2: Convert to fraction form
    96,403.50/197,505 = 197,505/x
  3. Step 3: Cross multiply
    96,403.50x = 197,505 × 197,505
  4. Step 4: Simplify right side
    96,403.50x = 39,008,225,025
  5. Step 5: Solve for x
    x = 39,008,225,025/96,403.50
  6. Step 6: Final answer
    x = 404,634.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.