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Finding the Third Proportional to 100,177,676,703 and 218,355,370,398

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Solution

The third proportional to 100,177,676,703 and 218,355,370,398 is: 475,945,034,371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,177,676,703 : 218,355,370,398 = 218,355,370,398 : x
  2. Step 2: Convert to fraction form
    100,177,676,703/218,355,370,398 = 218,355,370,398/x
  3. Step 3: Cross multiply
    100,177,676,703x = 218,355,370,398 × 218,355,370,398
  4. Step 4: Simplify right side
    100,177,676,703x = 47,679,067,781,647,774,515,200
  5. Step 5: Solve for x
    x = 47,679,067,781,647,774,515,200/100,177,676,703
  6. Step 6: Final answer
    x = 475,945,034,371.32

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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.