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Finding the Third Proportional to 97,069 and 212,305

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Solution

The third proportional to 97,069 and 212,305 is: 464,344.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,069 : 212,305 = 212,305 : x
  2. Step 2: Convert to fraction form
    97,069/212,305 = 212,305/x
  3. Step 3: Cross multiply
    97,069x = 212,305 × 212,305
  4. Step 4: Simplify right side
    97,069x = 45,073,413,025
  5. Step 5: Solve for x
    x = 45,073,413,025/97,069
  6. Step 6: Final answer
    x = 464,344.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.