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Finding the Third Proportional to 97,936 and 211,420

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Solution

The third proportional to 97,936 and 211,420 is: 456,404.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,936 : 211,420 = 211,420 : x
  2. Step 2: Convert to fraction form
    97,936/211,420 = 211,420/x
  3. Step 3: Cross multiply
    97,936x = 211,420 × 211,420
  4. Step 4: Simplify right side
    97,936x = 44,698,416,400
  5. Step 5: Solve for x
    x = 44,698,416,400/97,936
  6. Step 6: Final answer
    x = 456,404.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.