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Finding the Third Proportional to 98,483 and 214,790

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Solution

The third proportional to 98,483 and 214,790 is: 468,453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,483 : 214,790 = 214,790 : x
  2. Step 2: Convert to fraction form
    98,483/214,790 = 214,790/x
  3. Step 3: Cross multiply
    98,483x = 214,790 × 214,790
  4. Step 4: Simplify right side
    98,483x = 46,134,744,100
  5. Step 5: Solve for x
    x = 46,134,744,100/98,483
  6. Step 6: Final answer
    x = 468,453.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.