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Finding the Third Proportional to 91,971 and 202,005

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Solution

The third proportional to 91,971 and 202,005 is: 443,683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,971 : 202,005 = 202,005 : x
  2. Step 2: Convert to fraction form
    91,971/202,005 = 202,005/x
  3. Step 3: Cross multiply
    91,971x = 202,005 × 202,005
  4. Step 4: Simplify right side
    91,971x = 40,806,020,025
  5. Step 5: Solve for x
    x = 40,806,020,025/91,971
  6. Step 6: Final answer
    x = 443,683.55

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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.