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Finding the Third Proportional to 93,879.50 and 195,524

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Solution

The third proportional to 93,879.50 and 195,524 is: 407,220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,879.50 : 195,524 = 195,524 : x
  2. Step 2: Convert to fraction form
    93,879.50/195,524 = 195,524/x
  3. Step 3: Cross multiply
    93,879.50x = 195,524 × 195,524
  4. Step 4: Simplify right side
    93,879.50x = 38,229,634,576
  5. Step 5: Solve for x
    x = 38,229,634,576/93,879.50
  6. Step 6: Final answer
    x = 407,220.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.