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Finding the Third Proportional to 95,191 and 211,657

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Solution

The third proportional to 95,191 and 211,657 is: 470,618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,191 : 211,657 = 211,657 : x
  2. Step 2: Convert to fraction form
    95,191/211,657 = 211,657/x
  3. Step 3: Cross multiply
    95,191x = 211,657 × 211,657
  4. Step 4: Simplify right side
    95,191x = 44,798,685,649
  5. Step 5: Solve for x
    x = 44,798,685,649/95,191
  6. Step 6: Final answer
    x = 470,618.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.