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Finding the Third Proportional to 47,280.75 and 102,441.38

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Solution

The third proportional to 47,280.75 and 102,441.38 is: 221,955.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,280.75 : 102,441.38 = 102,441.38 : x
  2. Step 2: Convert to fraction form
    47,280.75/102,441.38 = 102,441.38/x
  3. Step 3: Cross multiply
    47,280.75x = 102,441.38 × 102,441.38
  4. Step 4: Simplify right side
    47,280.75x = 10,494,235,311.89
  5. Step 5: Solve for x
    x = 10,494,235,311.89/47,280.75
  6. Step 6: Final answer
    x = 221,955.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.