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Finding the Third Proportional to 97,883 and 213,743

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Solution

The third proportional to 97,883 and 213,743 is: 466,741.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,883 : 213,743 = 213,743 : x
  2. Step 2: Convert to fraction form
    97,883/213,743 = 213,743/x
  3. Step 3: Cross multiply
    97,883x = 213,743 × 213,743
  4. Step 4: Simplify right side
    97,883x = 45,686,070,049
  5. Step 5: Solve for x
    x = 45,686,070,049/97,883
  6. Step 6: Final answer
    x = 466,741.62

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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.