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Finding the Third Proportional to 43,856 and 92,296.50

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Solution

The third proportional to 43,856 and 92,296.50 is: 194,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,856 : 92,296.50 = 92,296.50 : x
  2. Step 2: Convert to fraction form
    43,856/92,296.50 = 92,296.50/x
  3. Step 3: Cross multiply
    43,856x = 92,296.50 × 92,296.50
  4. Step 4: Simplify right side
    43,856x = 8,518,643,912.25
  5. Step 5: Solve for x
    x = 8,518,643,912.25/43,856
  6. Step 6: Final answer
    x = 194,241.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.