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Finding the Third Proportional to 45,018 and 96,849

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Solution

The third proportional to 45,018 and 96,849 is: 208,355.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,018 : 96,849 = 96,849 : x
  2. Step 2: Convert to fraction form
    45,018/96,849 = 96,849/x
  3. Step 3: Cross multiply
    45,018x = 96,849 × 96,849
  4. Step 4: Simplify right side
    45,018x = 9,379,728,801
  5. Step 5: Solve for x
    x = 9,379,728,801/45,018
  6. Step 6: Final answer
    x = 208,355.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.