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Finding the Third Proportional to 90,886 and 193,435

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Solution

The third proportional to 90,886 and 193,435 is: 411,692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,886 : 193,435 = 193,435 : x
  2. Step 2: Convert to fraction form
    90,886/193,435 = 193,435/x
  3. Step 3: Cross multiply
    90,886x = 193,435 × 193,435
  4. Step 4: Simplify right side
    90,886x = 37,417,099,225
  5. Step 5: Solve for x
    x = 37,417,099,225/90,886
  6. Step 6: Final answer
    x = 411,692.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.