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Finding the Third Proportional to 98,194 and 150,143

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Solution

The third proportional to 98,194 and 150,143 is: 229,575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,194 : 150,143 = 150,143 : x
  2. Step 2: Convert to fraction form
    98,194/150,143 = 150,143/x
  3. Step 3: Cross multiply
    98,194x = 150,143 × 150,143
  4. Step 4: Simplify right side
    98,194x = 22,542,920,449
  5. Step 5: Solve for x
    x = 22,542,920,449/98,194
  6. Step 6: Final answer
    x = 229,575.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.