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Finding the Third Proportional to 80,690,197,255 and 176,580,658,922

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Solution

The third proportional to 80,690,197,255 and 176,580,658,922 is: 386,425,243,289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,690,197,255 : 176,580,658,922 = 176,580,658,922 : x
  2. Step 2: Convert to fraction form
    80,690,197,255/176,580,658,922 = 176,580,658,922/x
  3. Step 3: Cross multiply
    80,690,197,255x = 176,580,658,922 × 176,580,658,922
  4. Step 4: Simplify right side
    80,690,197,255x = 31,180,729,105,327,698,477,056
  5. Step 5: Solve for x
    x = 31,180,729,105,327,698,477,056/80,690,197,255
  6. Step 6: Final answer
    x = 386,425,243,289.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.