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Finding the Third Proportional to 98,058 and 211,668

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Solution

The third proportional to 98,058 and 211,668 is: 456,906.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,058 : 211,668 = 211,668 : x
  2. Step 2: Convert to fraction form
    98,058/211,668 = 211,668/x
  3. Step 3: Cross multiply
    98,058x = 211,668 × 211,668
  4. Step 4: Simplify right side
    98,058x = 44,803,342,224
  5. Step 5: Solve for x
    x = 44,803,342,224/98,058
  6. Step 6: Final answer
    x = 456,906.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.