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Finding the Third Proportional to 46,039.50 and 100,865.25

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Solution

The third proportional to 46,039.50 and 100,865.25 is: 220,979.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,039.50 : 100,865.25 = 100,865.25 : x
  2. Step 2: Convert to fraction form
    46,039.50/100,865.25 = 100,865.25/x
  3. Step 3: Cross multiply
    46,039.50x = 100,865.25 × 100,865.25
  4. Step 4: Simplify right side
    46,039.50x = 10,173,798,657.56
  5. Step 5: Solve for x
    x = 10,173,798,657.56/46,039.50
  6. Step 6: Final answer
    x = 220,979.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.