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Finding the Third Proportional to 43,466.94 and 92,675.39

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Solution

The third proportional to 43,466.94 and 92,675.39 is: 197,592.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,466.94 : 92,675.39 = 92,675.39 : x
  2. Step 2: Convert to fraction form
    43,466.94/92,675.39 = 92,675.39/x
  3. Step 3: Cross multiply
    43,466.94x = 92,675.39 × 92,675.39
  4. Step 4: Simplify right side
    43,466.94x = 8,588,728,027.50
  5. Step 5: Solve for x
    x = 8,588,728,027.50/43,466.94
  6. Step 6: Final answer
    x = 197,592.19

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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.