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Finding the Third Proportional to 96,511 and 215,162

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Solution

The third proportional to 96,511 and 215,162 is: 479,683.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,511 : 215,162 = 215,162 : x
  2. Step 2: Convert to fraction form
    96,511/215,162 = 215,162/x
  3. Step 3: Cross multiply
    96,511x = 215,162 × 215,162
  4. Step 4: Simplify right side
    96,511x = 46,294,686,244
  5. Step 5: Solve for x
    x = 46,294,686,244/96,511
  6. Step 6: Final answer
    x = 479,683.00

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.