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Finding the Third Proportional to 97,120 and 200,982

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Solution

The third proportional to 97,120 and 200,982 is: 415,916.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,120 : 200,982 = 200,982 : x
  2. Step 2: Convert to fraction form
    97,120/200,982 = 200,982/x
  3. Step 3: Cross multiply
    97,120x = 200,982 × 200,982
  4. Step 4: Simplify right side
    97,120x = 40,393,764,324
  5. Step 5: Solve for x
    x = 40,393,764,324/97,120
  6. Step 6: Final answer
    x = 415,916.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.