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Finding the Third Proportional to 101,968 and 220,336

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Solution

The third proportional to 101,968 and 220,336 is: 476,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,968 : 220,336 = 220,336 : x
  2. Step 2: Convert to fraction form
    101,968/220,336 = 220,336/x
  3. Step 3: Cross multiply
    101,968x = 220,336 × 220,336
  4. Step 4: Simplify right side
    101,968x = 48,547,952,896
  5. Step 5: Solve for x
    x = 48,547,952,896/101,968
  6. Step 6: Final answer
    x = 476,109.69

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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.