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Finding the Third Proportional to 90,684,309,069 and 196,783,123,392

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Solution

The third proportional to 90,684,309,069 and 196,783,123,392 is: 427,015,412,583.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,684,309,069 : 196,783,123,392 = 196,783,123,392 : x
  2. Step 2: Convert to fraction form
    90,684,309,069/196,783,123,392 = 196,783,123,392/x
  3. Step 3: Cross multiply
    90,684,309,069x = 196,783,123,392 × 196,783,123,392
  4. Step 4: Simplify right side
    90,684,309,069x = 38,723,597,651,911,097,974,784
  5. Step 5: Solve for x
    x = 38,723,597,651,911,097,974,784/90,684,309,069
  6. Step 6: Final answer
    x = 427,015,412,583.09

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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.