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Finding the Third Proportional to 87,649.50 and 191,883.50

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Solution

The third proportional to 87,649.50 and 191,883.50 is: 420,074.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,649.50 : 191,883.50 = 191,883.50 : x
  2. Step 2: Convert to fraction form
    87,649.50/191,883.50 = 191,883.50/x
  3. Step 3: Cross multiply
    87,649.50x = 191,883.50 × 191,883.50
  4. Step 4: Simplify right side
    87,649.50x = 36,819,277,572.25
  5. Step 5: Solve for x
    x = 36,819,277,572.25/87,649.50
  6. Step 6: Final answer
    x = 420,074.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.