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Finding the Third Proportional to 91,975 and 202,013

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Solution

The third proportional to 91,975 and 202,013 is: 443,699.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,975 : 202,013 = 202,013 : x
  2. Step 2: Convert to fraction form
    91,975/202,013 = 202,013/x
  3. Step 3: Cross multiply
    91,975x = 202,013 × 202,013
  4. Step 4: Simplify right side
    91,975x = 40,809,252,169
  5. Step 5: Solve for x
    x = 40,809,252,169/91,975
  6. Step 6: Final answer
    x = 443,699.40

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Why These Related Problems?

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