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Finding the Third Proportional to 97,914 and 211,380

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Solution

The third proportional to 97,914 and 211,380 is: 456,334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,914 : 211,380 = 211,380 : x
  2. Step 2: Convert to fraction form
    97,914/211,380 = 211,380/x
  3. Step 3: Cross multiply
    97,914x = 211,380 × 211,380
  4. Step 4: Simplify right side
    97,914x = 44,681,504,400
  5. Step 5: Solve for x
    x = 44,681,504,400/97,914
  6. Step 6: Final answer
    x = 456,334.17

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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.