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Finding the Third Proportional to 87,093 and 190,786.50

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Solution

The third proportional to 87,093 and 190,786.50 is: 417,938.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,093 : 190,786.50 = 190,786.50 : x
  2. Step 2: Convert to fraction form
    87,093/190,786.50 = 190,786.50/x
  3. Step 3: Cross multiply
    87,093x = 190,786.50 × 190,786.50
  4. Step 4: Simplify right side
    87,093x = 36,399,488,582.25
  5. Step 5: Solve for x
    x = 36,399,488,582.25/87,093
  6. Step 6: Final answer
    x = 417,938.16

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