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Finding the Third Proportional to 99,743,920 and 218,274,804

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Solution

The third proportional to 99,743,920 and 218,274,804 is: 477,662,097.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,743,920 : 218,274,804 = 218,274,804 : x
  2. Step 2: Convert to fraction form
    99,743,920/218,274,804 = 218,274,804/x
  3. Step 3: Cross multiply
    99,743,920x = 218,274,804 × 218,274,804
  4. Step 4: Simplify right side
    99,743,920x = 47,643,890,061,238,416
  5. Step 5: Solve for x
    x = 47,643,890,061,238,416/99,743,920
  6. Step 6: Final answer
    x = 477,662,097.71

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