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Finding the Third Proportional to 90,984 and 199,968

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Solution

The third proportional to 90,984 and 199,968 is: 439,497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,984 : 199,968 = 199,968 : x
  2. Step 2: Convert to fraction form
    90,984/199,968 = 199,968/x
  3. Step 3: Cross multiply
    90,984x = 199,968 × 199,968
  4. Step 4: Simplify right side
    90,984x = 39,987,201,024
  5. Step 5: Solve for x
    x = 39,987,201,024/90,984
  6. Step 6: Final answer
    x = 439,497.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.