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Finding the Third Proportional to 97,749 and 212,994

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Solution

The third proportional to 97,749 and 212,994 is: 464,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,749 : 212,994 = 212,994 : x
  2. Step 2: Convert to fraction form
    97,749/212,994 = 212,994/x
  3. Step 3: Cross multiply
    97,749x = 212,994 × 212,994
  4. Step 4: Simplify right side
    97,749x = 45,366,444,036
  5. Step 5: Solve for x
    x = 45,366,444,036/97,749
  6. Step 6: Final answer
    x = 464,111.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.