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Finding the Third Proportional to 103,264 and 218,913

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Solution

The third proportional to 103,264 and 218,913 is: 464,081.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,264 : 218,913 = 218,913 : x
  2. Step 2: Convert to fraction form
    103,264/218,913 = 218,913/x
  3. Step 3: Cross multiply
    103,264x = 218,913 × 218,913
  4. Step 4: Simplify right side
    103,264x = 47,922,901,569
  5. Step 5: Solve for x
    x = 47,922,901,569/103,264
  6. Step 6: Final answer
    x = 464,081.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.