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Finding the Third Proportional to 103,628 and 214,628

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Solution

The third proportional to 103,628 and 214,628 is: 444,524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,628 : 214,628 = 214,628 : x
  2. Step 2: Convert to fraction form
    103,628/214,628 = 214,628/x
  3. Step 3: Cross multiply
    103,628x = 214,628 × 214,628
  4. Step 4: Simplify right side
    103,628x = 46,065,178,384
  5. Step 5: Solve for x
    x = 46,065,178,384/103,628
  6. Step 6: Final answer
    x = 444,524.44

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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.