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Finding the Third Proportional to 103,653 and 214,686

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Solution

The third proportional to 103,653 and 214,686 is: 444,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,653 : 214,686 = 214,686 : x
  2. Step 2: Convert to fraction form
    103,653/214,686 = 214,686/x
  3. Step 3: Cross multiply
    103,653x = 214,686 × 214,686
  4. Step 4: Simplify right side
    103,653x = 46,090,078,596
  5. Step 5: Solve for x
    x = 46,090,078,596/103,653
  6. Step 6: Final answer
    x = 444,657.45

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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.