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Finding the Third Proportional to 87,212.25 and 190,000.13

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Solution

The third proportional to 87,212.25 and 190,000.13 is: 413,933.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,212.25 : 190,000.13 = 190,000.13 : x
  2. Step 2: Convert to fraction form
    87,212.25/190,000.13 = 190,000.13/x
  3. Step 3: Cross multiply
    87,212.25x = 190,000.13 × 190,000.13
  4. Step 4: Simplify right side
    87,212.25x = 36,100,047,500.02
  5. Step 5: Solve for x
    x = 36,100,047,500.02/87,212.25
  6. Step 6: Final answer
    x = 413,933.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.