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Finding the Third Proportional to 47,893.50 and 97,152.75

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Solution

The third proportional to 47,893.50 and 97,152.75 is: 197,075.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,893.50 : 97,152.75 = 97,152.75 : x
  2. Step 2: Convert to fraction form
    47,893.50/97,152.75 = 97,152.75/x
  3. Step 3: Cross multiply
    47,893.50x = 97,152.75 × 97,152.75
  4. Step 4: Simplify right side
    47,893.50x = 9,438,656,832.56
  5. Step 5: Solve for x
    x = 9,438,656,832.56/47,893.50
  6. Step 6: Final answer
    x = 197,075.95

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.