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Finding the Third Proportional to 90,009 and 196,973

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Solution

The third proportional to 90,009 and 196,973 is: 431,049.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,009 : 196,973 = 196,973 : x
  2. Step 2: Convert to fraction form
    90,009/196,973 = 196,973/x
  3. Step 3: Cross multiply
    90,009x = 196,973 × 196,973
  4. Step 4: Simplify right side
    90,009x = 38,798,362,729
  5. Step 5: Solve for x
    x = 38,798,362,729/90,009
  6. Step 6: Final answer
    x = 431,049.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.