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Finding the Third Proportional to 97,214 and 211,996

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Solution

The third proportional to 97,214 and 211,996 is: 462,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,214 : 211,996 = 211,996 : x
  2. Step 2: Convert to fraction form
    97,214/211,996 = 211,996/x
  3. Step 3: Cross multiply
    97,214x = 211,996 × 211,996
  4. Step 4: Simplify right side
    97,214x = 44,942,304,016
  5. Step 5: Solve for x
    x = 44,942,304,016/97,214
  6. Step 6: Final answer
    x = 462,302.80

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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.