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Finding the Third Proportional to 125,374,824 and 189,958,392

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Solution

The third proportional to 125,374,824 and 189,958,392 is: 287,810,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,374,824 : 189,958,392 = 189,958,392 : x
  2. Step 2: Convert to fraction form
    125,374,824/189,958,392 = 189,958,392/x
  3. Step 3: Cross multiply
    125,374,824x = 189,958,392 × 189,958,392
  4. Step 4: Simplify right side
    125,374,824x = 36,084,190,691,225,664
  5. Step 5: Solve for x
    x = 36,084,190,691,225,664/125,374,824
  6. Step 6: Final answer
    x = 287,810,499.27

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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.