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Finding the Third Proportional to 97,702 and 203,179

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Solution

The third proportional to 97,702 and 203,179 is: 422,526.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,702 : 203,179 = 203,179 : x
  2. Step 2: Convert to fraction form
    97,702/203,179 = 203,179/x
  3. Step 3: Cross multiply
    97,702x = 203,179 × 203,179
  4. Step 4: Simplify right side
    97,702x = 41,281,706,041
  5. Step 5: Solve for x
    x = 41,281,706,041/97,702
  6. Step 6: Final answer
    x = 422,526.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.