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Finding the Third Proportional to 90,451.13 and 190,936.13

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Solution

The third proportional to 90,451.13 and 190,936.13 is: 403,053.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,451.13 : 190,936.13 = 190,936.13 : x
  2. Step 2: Convert to fraction form
    90,451.13/190,936.13 = 190,936.13/x
  3. Step 3: Cross multiply
    90,451.13x = 190,936.13 × 190,936.13
  4. Step 4: Simplify right side
    90,451.13x = 36,456,603,830.02
  5. Step 5: Solve for x
    x = 36,456,603,830.02/90,451.13
  6. Step 6: Final answer
    x = 403,053.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.