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Finding the Third Proportional to 90,008 and 196,968

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Solution

The third proportional to 90,008 and 196,968 is: 431,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,008 : 196,968 = 196,968 : x
  2. Step 2: Convert to fraction form
    90,008/196,968 = 196,968/x
  3. Step 3: Cross multiply
    90,008x = 196,968 × 196,968
  4. Step 4: Simplify right side
    90,008x = 38,796,393,024
  5. Step 5: Solve for x
    x = 38,796,393,024/90,008
  6. Step 6: Final answer
    x = 431,032.72

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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.