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Finding the Third Proportional to 97,666 and 213,230

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Solution

The third proportional to 97,666 and 213,230 is: 465,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,666 : 213,230 = 213,230 : x
  2. Step 2: Convert to fraction form
    97,666/213,230 = 213,230/x
  3. Step 3: Cross multiply
    97,666x = 213,230 × 213,230
  4. Step 4: Simplify right side
    97,666x = 45,467,032,900
  5. Step 5: Solve for x
    x = 45,467,032,900/97,666
  6. Step 6: Final answer
    x = 465,535.94

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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.