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Finding the Third Proportional to 97,082 and 207,661

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Solution

The third proportional to 97,082 and 207,661 is: 444,192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,082 : 207,661 = 207,661 : x
  2. Step 2: Convert to fraction form
    97,082/207,661 = 207,661/x
  3. Step 3: Cross multiply
    97,082x = 207,661 × 207,661
  4. Step 4: Simplify right side
    97,082x = 43,123,090,921
  5. Step 5: Solve for x
    x = 43,123,090,921/97,082
  6. Step 6: Final answer
    x = 444,192.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.