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Finding the Third Proportional to 97,349 and 211,222

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Solution

The third proportional to 97,349 and 211,222 is: 458,296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,349 : 211,222 = 211,222 : x
  2. Step 2: Convert to fraction form
    97,349/211,222 = 211,222/x
  3. Step 3: Cross multiply
    97,349x = 211,222 × 211,222
  4. Step 4: Simplify right side
    97,349x = 44,614,733,284
  5. Step 5: Solve for x
    x = 44,614,733,284/97,349
  6. Step 6: Final answer
    x = 458,296.78

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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.