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Finding the Third Proportional to 91,969 and 197,971

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Solution

The third proportional to 91,969 and 197,971 is: 426,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,969 : 197,971 = 197,971 : x
  2. Step 2: Convert to fraction form
    91,969/197,971 = 197,971/x
  3. Step 3: Cross multiply
    91,969x = 197,971 × 197,971
  4. Step 4: Simplify right side
    91,969x = 39,192,516,841
  5. Step 5: Solve for x
    x = 39,192,516,841/91,969
  6. Step 6: Final answer
    x = 426,149.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.