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Finding the Third Proportional to 98,548 and 211,856

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Solution

The third proportional to 98,548 and 211,856 is: 455,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,548 : 211,856 = 211,856 : x
  2. Step 2: Convert to fraction form
    98,548/211,856 = 211,856/x
  3. Step 3: Cross multiply
    98,548x = 211,856 × 211,856
  4. Step 4: Simplify right side
    98,548x = 44,882,964,736
  5. Step 5: Solve for x
    x = 44,882,964,736/98,548
  6. Step 6: Final answer
    x = 455,442.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.