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Finding the Third Proportional to 90,848,167,304 and 197,693,571,088

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Solution

The third proportional to 90,848,167,304 and 197,693,571,088 is: 430,198,530,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,848,167,304 : 197,693,571,088 = 197,693,571,088 : x
  2. Step 2: Convert to fraction form
    90,848,167,304/197,693,571,088 = 197,693,571,088/x
  3. Step 3: Cross multiply
    90,848,167,304x = 197,693,571,088 × 197,693,571,088
  4. Step 4: Simplify right side
    90,848,167,304x = 39,082,748,049,526,108,454,912
  5. Step 5: Solve for x
    x = 39,082,748,049,526,108,454,912/90,848,167,304
  6. Step 6: Final answer
    x = 430,198,530,243.83

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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.