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Finding the Third Proportional to 98,864 and 210,852

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Solution

The third proportional to 98,864 and 210,852 is: 449,694.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,864 : 210,852 = 210,852 : x
  2. Step 2: Convert to fraction form
    98,864/210,852 = 210,852/x
  3. Step 3: Cross multiply
    98,864x = 210,852 × 210,852
  4. Step 4: Simplify right side
    98,864x = 44,458,565,904
  5. Step 5: Solve for x
    x = 44,458,565,904/98,864
  6. Step 6: Final answer
    x = 449,694.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.