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Finding the Third Proportional to 90,998,189,588 and 197,835,100,466

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Solution

The third proportional to 90,998,189,588 and 197,835,100,466 is: 430,104,457,611.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,998,189,588 : 197,835,100,466 = 197,835,100,466 : x
  2. Step 2: Convert to fraction form
    90,998,189,588/197,835,100,466 = 197,835,100,466/x
  3. Step 3: Cross multiply
    90,998,189,588x = 197,835,100,466 × 197,835,100,466
  4. Step 4: Simplify right side
    90,998,189,588x = 39,138,726,976,392,309,768,192
  5. Step 5: Solve for x
    x = 39,138,726,976,392,309,768,192/90,998,189,588
  6. Step 6: Final answer
    x = 430,104,457,611.69

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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.