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Finding the Third Proportional to 43,503.94 and 94,997.63

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Solution

The third proportional to 43,503.94 and 94,997.63 is: 207,442.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,503.94 : 94,997.63 = 94,997.63 : x
  2. Step 2: Convert to fraction form
    43,503.94/94,997.63 = 94,997.63/x
  3. Step 3: Cross multiply
    43,503.94x = 94,997.63 × 94,997.63
  4. Step 4: Simplify right side
    43,503.94x = 9,024,548,755.64
  5. Step 5: Solve for x
    x = 9,024,548,755.64/43,503.94
  6. Step 6: Final answer
    x = 207,442.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.