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Finding the Third Proportional to 50,113.69 and 104,869.69

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Solution

The third proportional to 50,113.69 and 104,869.69 is: 219,454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,113.69 : 104,869.69 = 104,869.69 : x
  2. Step 2: Convert to fraction form
    50,113.69/104,869.69 = 104,869.69/x
  3. Step 3: Cross multiply
    50,113.69x = 104,869.69 × 104,869.69
  4. Step 4: Simplify right side
    50,113.69x = 10,997,651,356.35
  5. Step 5: Solve for x
    x = 10,997,651,356.35/50,113.69
  6. Step 6: Final answer
    x = 219,454.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.