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Finding the Third Proportional to 90,865.13 and 186,262.88

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Solution

The third proportional to 90,865.13 and 186,262.88 is: 381,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,865.13 : 186,262.88 = 186,262.88 : x
  2. Step 2: Convert to fraction form
    90,865.13/186,262.88 = 186,262.88/x
  3. Step 3: Cross multiply
    90,865.13x = 186,262.88 × 186,262.88
  4. Step 4: Simplify right side
    90,865.13x = 34,693,858,603.27
  5. Step 5: Solve for x
    x = 34,693,858,603.27/90,865.13
  6. Step 6: Final answer
    x = 381,817.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.