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Finding the Third Proportional to 97,886 and 213,532

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Solution

The third proportional to 97,886 and 213,532 is: 465,806.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,886 : 213,532 = 213,532 : x
  2. Step 2: Convert to fraction form
    97,886/213,532 = 213,532/x
  3. Step 3: Cross multiply
    97,886x = 213,532 × 213,532
  4. Step 4: Simplify right side
    97,886x = 45,595,915,024
  5. Step 5: Solve for x
    x = 45,595,915,024/97,886
  6. Step 6: Final answer
    x = 465,806.30

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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.