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Finding the Third Proportional to 191,909.25 and 405,961.88

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Solution

The third proportional to 191,909.25 and 405,961.88 is: 858,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,909.25 : 405,961.88 = 405,961.88 : x
  2. Step 2: Convert to fraction form
    191,909.25/405,961.88 = 405,961.88/x
  3. Step 3: Cross multiply
    191,909.25x = 405,961.88 × 405,961.88
  4. Step 4: Simplify right side
    191,909.25x = 164,805,043,953.52
  5. Step 5: Solve for x
    x = 164,805,043,953.52/191,909.25
  6. Step 6: Final answer
    x = 858,765.50

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.