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Finding the Third Proportional to 97,288 and 213,029

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Solution

The third proportional to 97,288 and 213,029 is: 466,464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,288 : 213,029 = 213,029 : x
  2. Step 2: Convert to fraction form
    97,288/213,029 = 213,029/x
  3. Step 3: Cross multiply
    97,288x = 213,029 × 213,029
  4. Step 4: Simplify right side
    97,288x = 45,381,354,841
  5. Step 5: Solve for x
    x = 45,381,354,841/97,288
  6. Step 6: Final answer
    x = 466,464.05

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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.