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Finding the Third Proportional to 98,166.75 and 213,714.75

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Solution

The third proportional to 98,166.75 and 213,714.75 is: 465,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,166.75 : 213,714.75 = 213,714.75 : x
  2. Step 2: Convert to fraction form
    98,166.75/213,714.75 = 213,714.75/x
  3. Step 3: Cross multiply
    98,166.75x = 213,714.75 × 213,714.75
  4. Step 4: Simplify right side
    98,166.75x = 45,673,994,367.56
  5. Step 5: Solve for x
    x = 45,673,994,367.56/98,166.75
  6. Step 6: Final answer
    x = 465,269.50

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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.