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Finding the Third Proportional to 97,682 and 207,356

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Solution

The third proportional to 97,682 and 207,356 is: 440,168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,682 : 207,356 = 207,356 : x
  2. Step 2: Convert to fraction form
    97,682/207,356 = 207,356/x
  3. Step 3: Cross multiply
    97,682x = 207,356 × 207,356
  4. Step 4: Simplify right side
    97,682x = 42,996,510,736
  5. Step 5: Solve for x
    x = 42,996,510,736/97,682
  6. Step 6: Final answer
    x = 440,168.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.