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Finding the Third Proportional to 100,177,676,676 and 218,355,370,344

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Solution

The third proportional to 100,177,676,676 and 218,355,370,344 is: 475,945,034,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,177,676,676 : 218,355,370,344 = 218,355,370,344 : x
  2. Step 2: Convert to fraction form
    100,177,676,676/218,355,370,344 = 218,355,370,344/x
  3. Step 3: Cross multiply
    100,177,676,676x = 218,355,370,344 × 218,355,370,344
  4. Step 4: Simplify right side
    100,177,676,676x = 47,679,067,758,065,392,549,888
  5. Step 5: Solve for x
    x = 47,679,067,758,065,392,549,888/100,177,676,676
  6. Step 6: Final answer
    x = 475,945,034,264.19

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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.