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Finding the Third Proportional to 100,297 and 216,268

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Solution

The third proportional to 100,297 and 216,268 is: 466,333.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,297 : 216,268 = 216,268 : x
  2. Step 2: Convert to fraction form
    100,297/216,268 = 216,268/x
  3. Step 3: Cross multiply
    100,297x = 216,268 × 216,268
  4. Step 4: Simplify right side
    100,297x = 46,771,847,824
  5. Step 5: Solve for x
    x = 46,771,847,824/100,297
  6. Step 6: Final answer
    x = 466,333.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.