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Finding the Third Proportional to 97,928 and 201,652

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Solution

The third proportional to 97,928 and 201,652 is: 415,239.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,928 : 201,652 = 201,652 : x
  2. Step 2: Convert to fraction form
    97,928/201,652 = 201,652/x
  3. Step 3: Cross multiply
    97,928x = 201,652 × 201,652
  4. Step 4: Simplify right side
    97,928x = 40,663,529,104
  5. Step 5: Solve for x
    x = 40,663,529,104/97,928
  6. Step 6: Final answer
    x = 415,239.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.