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Finding the Third Proportional to 90,998,189,945 and 197,835,101,256

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Solution

The third proportional to 90,998,189,945 and 197,835,101,256 is: 430,104,459,359.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,998,189,945 : 197,835,101,256 = 197,835,101,256 : x
  2. Step 2: Convert to fraction form
    90,998,189,945/197,835,101,256 = 197,835,101,256/x
  3. Step 3: Cross multiply
    90,998,189,945x = 197,835,101,256 × 197,835,101,256
  4. Step 4: Simplify right side
    90,998,189,945x = 39,138,727,288,971,775,180,800
  5. Step 5: Solve for x
    x = 39,138,727,288,971,775,180,800/90,998,189,945
  6. Step 6: Final answer
    x = 430,104,459,359.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.