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Finding the Third Proportional to 97,244 and 211,196

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Solution

The third proportional to 97,244 and 211,196 is: 458,678.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,244 : 211,196 = 211,196 : x
  2. Step 2: Convert to fraction form
    97,244/211,196 = 211,196/x
  3. Step 3: Cross multiply
    97,244x = 211,196 × 211,196
  4. Step 4: Simplify right side
    97,244x = 44,603,750,416
  5. Step 5: Solve for x
    x = 44,603,750,416/97,244
  6. Step 6: Final answer
    x = 458,678.69

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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.