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Finding the Third Proportional to 44,868 and 94,380

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Solution

The third proportional to 44,868 and 94,380 is: 198,528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,868 : 94,380 = 94,380 : x
  2. Step 2: Convert to fraction form
    44,868/94,380 = 94,380/x
  3. Step 3: Cross multiply
    44,868x = 94,380 × 94,380
  4. Step 4: Simplify right side
    44,868x = 8,907,584,400
  5. Step 5: Solve for x
    x = 8,907,584,400/44,868
  6. Step 6: Final answer
    x = 198,528.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.