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Finding the Third Proportional to 104,655 and 214,818

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Solution

The third proportional to 104,655 and 214,818 is: 440,941.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,655 : 214,818 = 214,818 : x
  2. Step 2: Convert to fraction form
    104,655/214,818 = 214,818/x
  3. Step 3: Cross multiply
    104,655x = 214,818 × 214,818
  4. Step 4: Simplify right side
    104,655x = 46,146,773,124
  5. Step 5: Solve for x
    x = 46,146,773,124/104,655
  6. Step 6: Final answer
    x = 440,941.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.