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Finding the Third Proportional to 125,374,716 and 189,958,230

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Solution

The third proportional to 125,374,716 and 189,958,230 is: 287,810,256.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,374,716 : 189,958,230 = 189,958,230 : x
  2. Step 2: Convert to fraction form
    125,374,716/189,958,230 = 189,958,230/x
  3. Step 3: Cross multiply
    125,374,716x = 189,958,230 × 189,958,230
  4. Step 4: Simplify right side
    125,374,716x = 36,084,129,144,732,896
  5. Step 5: Solve for x
    x = 36,084,129,144,732,896/125,374,716
  6. Step 6: Final answer
    x = 287,810,256.29

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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.