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Finding the Third Proportional to 87,627.66 and 190,632.66

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Solution

The third proportional to 87,627.66 and 190,632.66 is: 414,718.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,627.66 : 190,632.66 = 190,632.66 : x
  2. Step 2: Convert to fraction form
    87,627.66/190,632.66 = 190,632.66/x
  3. Step 3: Cross multiply
    87,627.66x = 190,632.66 × 190,632.66
  4. Step 4: Simplify right side
    87,627.66x = 36,340,809,628.93
  5. Step 5: Solve for x
    x = 36,340,809,628.93/87,627.66
  6. Step 6: Final answer
    x = 414,718.49

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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.