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Finding the Third Proportional to 89,968.22 and 208,278.84

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Solution

The third proportional to 89,968.22 and 208,278.84 is: 482,171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,968.22 : 208,278.84 = 208,278.84 : x
  2. Step 2: Convert to fraction form
    89,968.22/208,278.84 = 208,278.84/x
  3. Step 3: Cross multiply
    89,968.22x = 208,278.84 × 208,278.84
  4. Step 4: Simplify right side
    89,968.22x = 43,380,076,753.84
  5. Step 5: Solve for x
    x = 43,380,076,753.84/89,968.22
  6. Step 6: Final answer
    x = 482,171.12

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.