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Finding the Third Proportional to 96,828 and 211,179

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Solution

The third proportional to 96,828 and 211,179 is: 460,575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,828 : 211,179 = 211,179 : x
  2. Step 2: Convert to fraction form
    96,828/211,179 = 211,179/x
  3. Step 3: Cross multiply
    96,828x = 211,179 × 211,179
  4. Step 4: Simplify right side
    96,828x = 44,596,570,041
  5. Step 5: Solve for x
    x = 44,596,570,041/96,828
  6. Step 6: Final answer
    x = 460,575.14

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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.