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Finding the Third Proportional to 90,848,165,614 and 197,693,567,704

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Solution

The third proportional to 90,848,165,614 and 197,693,567,704 is: 430,198,523,518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,848,165,614 : 197,693,567,704 = 197,693,567,704 : x
  2. Step 2: Convert to fraction form
    90,848,165,614/197,693,567,704 = 197,693,567,704/x
  3. Step 3: Cross multiply
    90,848,165,614x = 197,693,567,704 × 197,693,567,704
  4. Step 4: Simplify right side
    90,848,165,614x = 39,082,746,711,536,035,692,544
  5. Step 5: Solve for x
    x = 39,082,746,711,536,035,692,544/90,848,165,614
  6. Step 6: Final answer
    x = 430,198,523,518.82

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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.