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Finding the Third Proportional to 97,610 and 213,121

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Solution

The third proportional to 97,610 and 213,121 is: 465,326.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,610 : 213,121 = 213,121 : x
  2. Step 2: Convert to fraction form
    97,610/213,121 = 213,121/x
  3. Step 3: Cross multiply
    97,610x = 213,121 × 213,121
  4. Step 4: Simplify right side
    97,610x = 45,420,560,641
  5. Step 5: Solve for x
    x = 45,420,560,641/97,610
  6. Step 6: Final answer
    x = 465,326.92

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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.