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Finding the Third Proportional to 98,848 and 211,997.75

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Solution

The third proportional to 98,848 and 211,997.75 is: 454,668.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,848 : 211,997.75 = 211,997.75 : x
  2. Step 2: Convert to fraction form
    98,848/211,997.75 = 211,997.75/x
  3. Step 3: Cross multiply
    98,848x = 211,997.75 × 211,997.75
  4. Step 4: Simplify right side
    98,848x = 44,943,046,005.06
  5. Step 5: Solve for x
    x = 44,943,046,005.06/98,848
  6. Step 6: Final answer
    x = 454,668.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.