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Finding the Third Proportional to 97,233 and 211,065

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Solution

The third proportional to 97,233 and 211,065 is: 458,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,233 : 211,065 = 211,065 : x
  2. Step 2: Convert to fraction form
    97,233/211,065 = 211,065/x
  3. Step 3: Cross multiply
    97,233x = 211,065 × 211,065
  4. Step 4: Simplify right side
    97,233x = 44,548,434,225
  5. Step 5: Solve for x
    x = 44,548,434,225/97,233
  6. Step 6: Final answer
    x = 458,161.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.