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Finding the Third Proportional to 90,848,165,602 and 197,693,567,684

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Solution

The third proportional to 90,848,165,602 and 197,693,567,684 is: 430,198,523,488.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,848,165,602 : 197,693,567,684 = 197,693,567,684 : x
  2. Step 2: Convert to fraction form
    90,848,165,602/197,693,567,684 = 197,693,567,684/x
  3. Step 3: Cross multiply
    90,848,165,602x = 197,693,567,684 × 197,693,567,684
  4. Step 4: Simplify right side
    90,848,165,602x = 39,082,746,703,628,287,868,928
  5. Step 5: Solve for x
    x = 39,082,746,703,628,287,868,928/90,848,165,602
  6. Step 6: Final answer
    x = 430,198,523,488.60

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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.