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Finding the Third Proportional to 96,596 and 213,928

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Solution

The third proportional to 96,596 and 213,928 is: 473,779.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,596 : 213,928 = 213,928 : x
  2. Step 2: Convert to fraction form
    96,596/213,928 = 213,928/x
  3. Step 3: Cross multiply
    96,596x = 213,928 × 213,928
  4. Step 4: Simplify right side
    96,596x = 45,765,189,184
  5. Step 5: Solve for x
    x = 45,765,189,184/96,596
  6. Step 6: Final answer
    x = 473,779.34

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.