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Finding the Third Proportional to 103,629 and 214,629

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Solution

The third proportional to 103,629 and 214,629 is: 444,524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,629 : 214,629 = 214,629 : x
  2. Step 2: Convert to fraction form
    103,629/214,629 = 214,629/x
  3. Step 3: Cross multiply
    103,629x = 214,629 × 214,629
  4. Step 4: Simplify right side
    103,629x = 46,065,607,641
  5. Step 5: Solve for x
    x = 46,065,607,641/103,629
  6. Step 6: Final answer
    x = 444,524.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.