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Finding the Third Proportional to 99,743,922 and 218,274,808

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Solution

The third proportional to 99,743,922 and 218,274,808 is: 477,662,105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,743,922 : 218,274,808 = 218,274,808 : x
  2. Step 2: Convert to fraction form
    99,743,922/218,274,808 = 218,274,808/x
  3. Step 3: Cross multiply
    99,743,922x = 218,274,808 × 218,274,808
  4. Step 4: Simplify right side
    99,743,922x = 47,643,891,807,436,864
  5. Step 5: Solve for x
    x = 47,643,891,807,436,864/99,743,922
  6. Step 6: Final answer
    x = 477,662,105.64

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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.