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Finding the Third Proportional to 100,849.50 and 214,947

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Solution

The third proportional to 100,849.50 and 214,947 is: 458,130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,849.50 : 214,947 = 214,947 : x
  2. Step 2: Convert to fraction form
    100,849.50/214,947 = 214,947/x
  3. Step 3: Cross multiply
    100,849.50x = 214,947 × 214,947
  4. Step 4: Simplify right side
    100,849.50x = 46,202,212,809
  5. Step 5: Solve for x
    x = 46,202,212,809/100,849.50
  6. Step 6: Final answer
    x = 458,130.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.