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Finding the Third Proportional to 97,998 and 207,771

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Solution

The third proportional to 97,998 and 207,771 is: 440,506.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,998 : 207,771 = 207,771 : x
  2. Step 2: Convert to fraction form
    97,998/207,771 = 207,771/x
  3. Step 3: Cross multiply
    97,998x = 207,771 × 207,771
  4. Step 4: Simplify right side
    97,998x = 43,168,788,441
  5. Step 5: Solve for x
    x = 43,168,788,441/97,998
  6. Step 6: Final answer
    x = 440,506.83

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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.