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Finding the Third Proportional to 97,718 and 212,993

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Solution

The third proportional to 97,718 and 212,993 is: 464,254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,718 : 212,993 = 212,993 : x
  2. Step 2: Convert to fraction form
    97,718/212,993 = 212,993/x
  3. Step 3: Cross multiply
    97,718x = 212,993 × 212,993
  4. Step 4: Simplify right side
    97,718x = 45,366,018,049
  5. Step 5: Solve for x
    x = 45,366,018,049/97,718
  6. Step 6: Final answer
    x = 464,254.47

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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.