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Finding the Third Proportional to 103,354 and 219,006

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Solution

The third proportional to 103,354 and 219,006 is: 464,071.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,354 : 219,006 = 219,006 : x
  2. Step 2: Convert to fraction form
    103,354/219,006 = 219,006/x
  3. Step 3: Cross multiply
    103,354x = 219,006 × 219,006
  4. Step 4: Simplify right side
    103,354x = 47,963,628,036
  5. Step 5: Solve for x
    x = 47,963,628,036/103,354
  6. Step 6: Final answer
    x = 464,071.33

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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.