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Finding the Third Proportional to 43,853.34 and 94,722.47

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Solution

The third proportional to 43,853.34 and 94,722.47 is: 204,598.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,853.34 : 94,722.47 = 94,722.47 : x
  2. Step 2: Convert to fraction form
    43,853.34/94,722.47 = 94,722.47/x
  3. Step 3: Cross multiply
    43,853.34x = 94,722.47 × 94,722.47
  4. Step 4: Simplify right side
    43,853.34x = 8,972,346,086.09
  5. Step 5: Solve for x
    x = 8,972,346,086.09/43,853.34
  6. Step 6: Final answer
    x = 204,598.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.