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Finding the Third Proportional to 97,756 and 214,196

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Solution

The third proportional to 97,756 and 214,196 is: 469,331.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,756 : 214,196 = 214,196 : x
  2. Step 2: Convert to fraction form
    97,756/214,196 = 214,196/x
  3. Step 3: Cross multiply
    97,756x = 214,196 × 214,196
  4. Step 4: Simplify right side
    97,756x = 45,879,926,416
  5. Step 5: Solve for x
    x = 45,879,926,416/97,756
  6. Step 6: Final answer
    x = 469,331.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.