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Finding the Third Proportional to 100,675,027 and 155,463,274

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Solution

The third proportional to 100,675,027 and 155,463,274 is: 240,067,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,675,027 : 155,463,274 = 155,463,274 : x
  2. Step 2: Convert to fraction form
    100,675,027/155,463,274 = 155,463,274/x
  3. Step 3: Cross multiply
    100,675,027x = 155,463,274 × 155,463,274
  4. Step 4: Simplify right side
    100,675,027x = 24,168,829,562,799,076
  5. Step 5: Solve for x
    x = 24,168,829,562,799,076/100,675,027
  6. Step 6: Final answer
    x = 240,067,773.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.