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Finding the Third Proportional to 92,241.28 and 198,637.31

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Solution

The third proportional to 92,241.28 and 198,637.31 is: 427,756.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,241.28 : 198,637.31 = 198,637.31 : x
  2. Step 2: Convert to fraction form
    92,241.28/198,637.31 = 198,637.31/x
  3. Step 3: Cross multiply
    92,241.28x = 198,637.31 × 198,637.31
  4. Step 4: Simplify right side
    92,241.28x = 39,456,781,917.22
  5. Step 5: Solve for x
    x = 39,456,781,917.22/92,241.28
  6. Step 6: Final answer
    x = 427,756.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.