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Finding the Third Proportional to 190,867,660,579 and 415,245,985,321

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Solution

The third proportional to 190,867,660,579 and 415,245,985,321 is: 903,396,771,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,867,660,579 : 415,245,985,321 = 415,245,985,321 : x
  2. Step 2: Convert to fraction form
    190,867,660,579/415,245,985,321 = 415,245,985,321/x
  3. Step 3: Cross multiply
    190,867,660,579x = 415,245,985,321 × 415,245,985,321
  4. Step 4: Simplify right side
    190,867,660,579x = 172,429,228,325,208,131,108,864
  5. Step 5: Solve for x
    x = 172,429,228,325,208,131,108,864/190,867,660,579
  6. Step 6: Final answer
    x = 903,396,771,365.78

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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.