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Finding the Third Proportional to 46,846.50 and 97,336.50

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Solution

The third proportional to 46,846.50 and 97,336.50 is: 202,243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,846.50 : 97,336.50 = 97,336.50 : x
  2. Step 2: Convert to fraction form
    46,846.50/97,336.50 = 97,336.50/x
  3. Step 3: Cross multiply
    46,846.50x = 97,336.50 × 97,336.50
  4. Step 4: Simplify right side
    46,846.50x = 9,474,394,232.25
  5. Step 5: Solve for x
    x = 9,474,394,232.25/46,846.50
  6. Step 6: Final answer
    x = 202,243.37

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.