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Finding the Third Proportional to 45,536 and 98,848

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Solution

The third proportional to 45,536 and 98,848 is: 214,575.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,536 : 98,848 = 98,848 : x
  2. Step 2: Convert to fraction form
    45,536/98,848 = 98,848/x
  3. Step 3: Cross multiply
    45,536x = 98,848 × 98,848
  4. Step 4: Simplify right side
    45,536x = 9,770,927,104
  5. Step 5: Solve for x
    x = 9,770,927,104/45,536
  6. Step 6: Final answer
    x = 214,575.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.