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Finding the Third Proportional to 98,235.60 and 210,481.66

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Solution

The third proportional to 98,235.60 and 210,481.66 is: 450,982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,235.60 : 210,481.66 = 210,481.66 : x
  2. Step 2: Convert to fraction form
    98,235.60/210,481.66 = 210,481.66/x
  3. Step 3: Cross multiply
    98,235.60x = 210,481.66 × 210,481.66
  4. Step 4: Simplify right side
    98,235.60x = 44,302,530,906.52
  5. Step 5: Solve for x
    x = 44,302,530,906.52/98,235.60
  6. Step 6: Final answer
    x = 450,982.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.