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Finding the Third Proportional to 97,130 and 211,351

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Solution

The third proportional to 97,130 and 211,351 is: 459,891.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,130 : 211,351 = 211,351 : x
  2. Step 2: Convert to fraction form
    97,130/211,351 = 211,351/x
  3. Step 3: Cross multiply
    97,130x = 211,351 × 211,351
  4. Step 4: Simplify right side
    97,130x = 44,669,245,201
  5. Step 5: Solve for x
    x = 44,669,245,201/97,130
  6. Step 6: Final answer
    x = 459,891.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.