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Finding the Third Proportional to 98,448 and 210,894

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Solution

The third proportional to 98,448 and 210,894 is: 451,774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,448 : 210,894 = 210,894 : x
  2. Step 2: Convert to fraction form
    98,448/210,894 = 210,894/x
  3. Step 3: Cross multiply
    98,448x = 210,894 × 210,894
  4. Step 4: Simplify right side
    98,448x = 44,476,279,236
  5. Step 5: Solve for x
    x = 44,476,279,236/98,448
  6. Step 6: Final answer
    x = 451,774.33

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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.