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Finding the Third Proportional to 98,140 and 211,824

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Solution

The third proportional to 98,140 and 211,824 is: 457,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,140 : 211,824 = 211,824 : x
  2. Step 2: Convert to fraction form
    98,140/211,824 = 211,824/x
  3. Step 3: Cross multiply
    98,140x = 211,824 × 211,824
  4. Step 4: Simplify right side
    98,140x = 44,869,406,976
  5. Step 5: Solve for x
    x = 44,869,406,976/98,140
  6. Step 6: Final answer
    x = 457,197.95

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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.