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Finding the Third Proportional to 98,449 and 214,943

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Solution

The third proportional to 98,449 and 214,943 is: 469,283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,449 : 214,943 = 214,943 : x
  2. Step 2: Convert to fraction form
    98,449/214,943 = 214,943/x
  3. Step 3: Cross multiply
    98,449x = 214,943 × 214,943
  4. Step 4: Simplify right side
    98,449x = 46,200,493,249
  5. Step 5: Solve for x
    x = 46,200,493,249/98,449
  6. Step 6: Final answer
    x = 469,283.52

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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.