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Finding the Third Proportional to 87,833.63 and 195,319.50

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Solution

The third proportional to 87,833.63 and 195,319.50 is: 434,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,833.63 : 195,319.50 = 195,319.50 : x
  2. Step 2: Convert to fraction form
    87,833.63/195,319.50 = 195,319.50/x
  3. Step 3: Cross multiply
    87,833.63x = 195,319.50 × 195,319.50
  4. Step 4: Simplify right side
    87,833.63x = 38,149,707,080.25
  5. Step 5: Solve for x
    x = 38,149,707,080.25/87,833.63
  6. Step 6: Final answer
    x = 434,340.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.