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Finding the Third Proportional to 98,194 and 211,417

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Solution

The third proportional to 98,194 and 211,417 is: 455,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,194 : 211,417 = 211,417 : x
  2. Step 2: Convert to fraction form
    98,194/211,417 = 211,417/x
  3. Step 3: Cross multiply
    98,194x = 211,417 × 211,417
  4. Step 4: Simplify right side
    98,194x = 44,697,147,889
  5. Step 5: Solve for x
    x = 44,697,147,889/98,194
  6. Step 6: Final answer
    x = 455,192.25

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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.