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Finding the Third Proportional to 89,186 and 190,827

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Solution

The third proportional to 89,186 and 190,827 is: 408,303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,186 : 190,827 = 190,827 : x
  2. Step 2: Convert to fraction form
    89,186/190,827 = 190,827/x
  3. Step 3: Cross multiply
    89,186x = 190,827 × 190,827
  4. Step 4: Simplify right side
    89,186x = 36,414,943,929
  5. Step 5: Solve for x
    x = 36,414,943,929/89,186
  6. Step 6: Final answer
    x = 408,303.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.