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Finding the Third Proportional to 92,926.50 and 203,637

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Solution

The third proportional to 92,926.50 and 203,637 is: 446,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,926.50 : 203,637 = 203,637 : x
  2. Step 2: Convert to fraction form
    92,926.50/203,637 = 203,637/x
  3. Step 3: Cross multiply
    92,926.50x = 203,637 × 203,637
  4. Step 4: Simplify right side
    92,926.50x = 41,468,027,769
  5. Step 5: Solve for x
    x = 41,468,027,769/92,926.50
  6. Step 6: Final answer
    x = 446,245.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.