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Finding the Third Proportional to 104,670 and 218,196

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Solution

The third proportional to 104,670 and 218,196 is: 454,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,670 : 218,196 = 218,196 : x
  2. Step 2: Convert to fraction form
    104,670/218,196 = 218,196/x
  3. Step 3: Cross multiply
    104,670x = 218,196 × 218,196
  4. Step 4: Simplify right side
    104,670x = 47,609,494,416
  5. Step 5: Solve for x
    x = 47,609,494,416/104,670
  6. Step 6: Final answer
    x = 454,853.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.