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Finding the Third Proportional to 90,865.13 and 186,822

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Solution

The third proportional to 90,865.13 and 186,822 is: 384,112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,865.13 : 186,822 = 186,822 : x
  2. Step 2: Convert to fraction form
    90,865.13/186,822 = 186,822/x
  3. Step 3: Cross multiply
    90,865.13x = 186,822 × 186,822
  4. Step 4: Simplify right side
    90,865.13x = 34,902,459,684
  5. Step 5: Solve for x
    x = 34,902,459,684/90,865.13
  6. Step 6: Final answer
    x = 384,112.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.