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Finding the Third Proportional to 43,819 and 95,929

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Solution

The third proportional to 43,819 and 95,929 is: 210,008.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,819 : 95,929 = 95,929 : x
  2. Step 2: Convert to fraction form
    43,819/95,929 = 95,929/x
  3. Step 3: Cross multiply
    43,819x = 95,929 × 95,929
  4. Step 4: Simplify right side
    43,819x = 9,202,373,041
  5. Step 5: Solve for x
    x = 9,202,373,041/43,819
  6. Step 6: Final answer
    x = 210,008.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.