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Finding the Third Proportional to 96,832.50 and 213,240

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Solution

The third proportional to 96,832.50 and 213,240 is: 469,587.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,832.50 : 213,240 = 213,240 : x
  2. Step 2: Convert to fraction form
    96,832.50/213,240 = 213,240/x
  3. Step 3: Cross multiply
    96,832.50x = 213,240 × 213,240
  4. Step 4: Simplify right side
    96,832.50x = 45,471,297,600
  5. Step 5: Solve for x
    x = 45,471,297,600/96,832.50
  6. Step 6: Final answer
    x = 469,587.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.