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Finding the Third Proportional to 43,818 and 95,644

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Solution

The third proportional to 43,818 and 95,644 is: 208,767.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,818 : 95,644 = 95,644 : x
  2. Step 2: Convert to fraction form
    43,818/95,644 = 95,644/x
  3. Step 3: Cross multiply
    43,818x = 95,644 × 95,644
  4. Step 4: Simplify right side
    43,818x = 9,147,774,736
  5. Step 5: Solve for x
    x = 9,147,774,736/43,818
  6. Step 6: Final answer
    x = 208,767.51

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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.