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Finding the Third Proportional to 165,015,575 and 349,704,848

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Solution

The third proportional to 165,015,575 and 349,704,848 is: 741,102,654.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,015,575 : 349,704,848 = 349,704,848 : x
  2. Step 2: Convert to fraction form
    165,015,575/349,704,848 = 349,704,848/x
  3. Step 3: Cross multiply
    165,015,575x = 349,704,848 × 349,704,848
  4. Step 4: Simplify right side
    165,015,575x = 122,293,480,714,703,104
  5. Step 5: Solve for x
    x = 122,293,480,714,703,104/165,015,575
  6. Step 6: Final answer
    x = 741,102,654.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.