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Finding the Third Proportional to 90,848,165,616 and 197,693,567,708

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Solution

The third proportional to 90,848,165,616 and 197,693,567,708 is: 430,198,523,526.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,848,165,616 : 197,693,567,708 = 197,693,567,708 : x
  2. Step 2: Convert to fraction form
    90,848,165,616/197,693,567,708 = 197,693,567,708/x
  3. Step 3: Cross multiply
    90,848,165,616x = 197,693,567,708 × 197,693,567,708
  4. Step 4: Simplify right side
    90,848,165,616x = 39,082,746,713,117,581,901,824
  5. Step 5: Solve for x
    x = 39,082,746,713,117,581,901,824/90,848,165,616
  6. Step 6: Final answer
    x = 430,198,523,526.76

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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.