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Finding the Third Proportional to 103,617 and 214,604

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Solution

The third proportional to 103,617 and 214,604 is: 444,472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,617 : 214,604 = 214,604 : x
  2. Step 2: Convert to fraction form
    103,617/214,604 = 214,604/x
  3. Step 3: Cross multiply
    103,617x = 214,604 × 214,604
  4. Step 4: Simplify right side
    103,617x = 46,054,876,816
  5. Step 5: Solve for x
    x = 46,054,876,816/103,617
  6. Step 6: Final answer
    x = 444,472.21

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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.