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Finding the Third Proportional to 223,040,055.94 and 313,534,994.91

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Solution

The third proportional to 223,040,055.94 and 313,534,994.91 is: 440,746,809.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,040,055.94 : 313,534,994.91 = 313,534,994.91 : x
  2. Step 2: Convert to fraction form
    223,040,055.94/313,534,994.91 = 313,534,994.91/x
  3. Step 3: Cross multiply
    223,040,055.94x = 313,534,994.91 × 313,534,994.91
  4. Step 4: Simplify right side
    223,040,055.94x = 98,304,193,030,862,208
  5. Step 5: Solve for x
    x = 98,304,193,030,862,208/223,040,055.94
  6. Step 6: Final answer
    x = 440,746,809.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.