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Finding the Third Proportional to 90,848,165,612 and 197,693,567,700

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Solution

The third proportional to 90,848,165,612 and 197,693,567,700 is: 430,198,523,510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,848,165,612 : 197,693,567,700 = 197,693,567,700 : x
  2. Step 2: Convert to fraction form
    90,848,165,612/197,693,567,700 = 197,693,567,700/x
  3. Step 3: Cross multiply
    90,848,165,612x = 197,693,567,700 × 197,693,567,700
  4. Step 4: Simplify right side
    90,848,165,612x = 39,082,746,709,954,481,094,656
  5. Step 5: Solve for x
    x = 39,082,746,709,954,481,094,656/90,848,165,612
  6. Step 6: Final answer
    x = 430,198,523,510.88

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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.