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Finding the Third Proportional to 125,963,678 and 188,289,741

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Solution

The third proportional to 125,963,678 and 188,289,741 is: 281,454,361.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,963,678 : 188,289,741 = 188,289,741 : x
  2. Step 2: Convert to fraction form
    125,963,678/188,289,741 = 188,289,741/x
  3. Step 3: Cross multiply
    125,963,678x = 188,289,741 × 188,289,741
  4. Step 4: Simplify right side
    125,963,678x = 35,453,026,565,847,080
  5. Step 5: Solve for x
    x = 35,453,026,565,847,080/125,963,678
  6. Step 6: Final answer
    x = 281,454,361.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.