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Finding the Third Proportional to 97,634 and 203,043

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Solution

The third proportional to 97,634 and 203,043 is: 422,255.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,634 : 203,043 = 203,043 : x
  2. Step 2: Convert to fraction form
    97,634/203,043 = 203,043/x
  3. Step 3: Cross multiply
    97,634x = 203,043 × 203,043
  4. Step 4: Simplify right side
    97,634x = 41,226,459,849
  5. Step 5: Solve for x
    x = 41,226,459,849/97,634
  6. Step 6: Final answer
    x = 422,255.16

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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.