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Finding the Third Proportional to 47,968.50 and 102,985

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Solution

The third proportional to 47,968.50 and 102,985 is: 221,101.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,968.50 : 102,985 = 102,985 : x
  2. Step 2: Convert to fraction form
    47,968.50/102,985 = 102,985/x
  3. Step 3: Cross multiply
    47,968.50x = 102,985 × 102,985
  4. Step 4: Simplify right side
    47,968.50x = 10,605,910,225
  5. Step 5: Solve for x
    x = 10,605,910,225/47,968.50
  6. Step 6: Final answer
    x = 221,101.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.