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Finding the Third Proportional to 125,374,839 and 189,958,416

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Solution

The third proportional to 125,374,839 and 189,958,416 is: 287,810,537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,374,839 : 189,958,416 = 189,958,416 : x
  2. Step 2: Convert to fraction form
    125,374,839/189,958,416 = 189,958,416/x
  3. Step 3: Cross multiply
    125,374,839x = 189,958,416 × 189,958,416
  4. Step 4: Simplify right side
    125,374,839x = 36,084,199,809,229,056
  5. Step 5: Solve for x
    x = 36,084,199,809,229,056/125,374,839
  6. Step 6: Final answer
    x = 287,810,537.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.