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Finding the Third Proportional to 46,912.50 and 95,734.50

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Solution

The third proportional to 46,912.50 and 95,734.50 is: 195,365.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,912.50 : 95,734.50 = 95,734.50 : x
  2. Step 2: Convert to fraction form
    46,912.50/95,734.50 = 95,734.50/x
  3. Step 3: Cross multiply
    46,912.50x = 95,734.50 × 95,734.50
  4. Step 4: Simplify right side
    46,912.50x = 9,165,094,490.25
  5. Step 5: Solve for x
    x = 9,165,094,490.25/46,912.50
  6. Step 6: Final answer
    x = 195,365.72

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.