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Finding the Third Proportional to 97,297 and 209,601

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Solution

The third proportional to 97,297 and 209,601 is: 451,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,297 : 209,601 = 209,601 : x
  2. Step 2: Convert to fraction form
    97,297/209,601 = 209,601/x
  3. Step 3: Cross multiply
    97,297x = 209,601 × 209,601
  4. Step 4: Simplify right side
    97,297x = 43,932,579,201
  5. Step 5: Solve for x
    x = 43,932,579,201/97,297
  6. Step 6: Final answer
    x = 451,530.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.