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Finding the Third Proportional to 87,814.13 and 190,391.63

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Solution

The third proportional to 87,814.13 and 190,391.63 is: 412,792.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,814.13 : 190,391.63 = 190,391.63 : x
  2. Step 2: Convert to fraction form
    87,814.13/190,391.63 = 190,391.63/x
  3. Step 3: Cross multiply
    87,814.13x = 190,391.63 × 190,391.63
  4. Step 4: Simplify right side
    87,814.13x = 36,248,970,870.14
  5. Step 5: Solve for x
    x = 36,248,970,870.14/87,814.13
  6. Step 6: Final answer
    x = 412,792.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.