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Finding the Third Proportional to 47,389.50 and 100,215

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Solution

The third proportional to 47,389.50 and 100,215 is: 211,925.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,389.50 : 100,215 = 100,215 : x
  2. Step 2: Convert to fraction form
    47,389.50/100,215 = 100,215/x
  3. Step 3: Cross multiply
    47,389.50x = 100,215 × 100,215
  4. Step 4: Simplify right side
    47,389.50x = 10,043,046,225
  5. Step 5: Solve for x
    x = 10,043,046,225/47,389.50
  6. Step 6: Final answer
    x = 211,925.56

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.