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Finding the Third Proportional to 97,122 and 211,338

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Solution

The third proportional to 97,122 and 211,338 is: 459,872.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,122 : 211,338 = 211,338 : x
  2. Step 2: Convert to fraction form
    97,122/211,338 = 211,338/x
  3. Step 3: Cross multiply
    97,122x = 211,338 × 211,338
  4. Step 4: Simplify right side
    97,122x = 44,663,750,244
  5. Step 5: Solve for x
    x = 44,663,750,244/97,122
  6. Step 6: Final answer
    x = 459,872.64

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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.