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Finding the Third Proportional to 44,803.50 and 94,344

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Solution

The third proportional to 44,803.50 and 94,344 is: 198,662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,803.50 : 94,344 = 94,344 : x
  2. Step 2: Convert to fraction form
    44,803.50/94,344 = 94,344/x
  3. Step 3: Cross multiply
    44,803.50x = 94,344 × 94,344
  4. Step 4: Simplify right side
    44,803.50x = 8,900,790,336
  5. Step 5: Solve for x
    x = 8,900,790,336/44,803.50
  6. Step 6: Final answer
    x = 198,662.84

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Why These Related Problems?

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