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Finding the Third Proportional to 90,839,523 and 197,012,100

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Solution

The third proportional to 90,839,523 and 197,012,100 is: 427,278,416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,839,523 : 197,012,100 = 197,012,100 : x
  2. Step 2: Convert to fraction form
    90,839,523/197,012,100 = 197,012,100/x
  3. Step 3: Cross multiply
    90,839,523x = 197,012,100 × 197,012,100
  4. Step 4: Simplify right side
    90,839,523x = 38,813,767,546,410,000
  5. Step 5: Solve for x
    x = 38,813,767,546,410,000/90,839,523
  6. Step 6: Final answer
    x = 427,278,416.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.