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Finding the Third Proportional to 87,497.09 and 188,295.57

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Solution

The third proportional to 87,497.09 and 188,295.57 is: 405,216.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,497.09 : 188,295.57 = 188,295.57 : x
  2. Step 2: Convert to fraction form
    87,497.09/188,295.57 = 188,295.57/x
  3. Step 3: Cross multiply
    87,497.09x = 188,295.57 × 188,295.57
  4. Step 4: Simplify right side
    87,497.09x = 35,455,223,270.37
  5. Step 5: Solve for x
    x = 35,455,223,270.37/87,497.09
  6. Step 6: Final answer
    x = 405,216.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.