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Finding the Third Proportional to 125,965,760 and 276,145,296

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Solution

The third proportional to 125,965,760 and 276,145,296 is: 605,372,638.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,965,760 : 276,145,296 = 276,145,296 : x
  2. Step 2: Convert to fraction form
    125,965,760/276,145,296 = 276,145,296/x
  3. Step 3: Cross multiply
    125,965,760x = 276,145,296 × 276,145,296
  4. Step 4: Simplify right side
    125,965,760x = 76,256,224,502,927,616
  5. Step 5: Solve for x
    x = 76,256,224,502,927,616/125,965,760
  6. Step 6: Final answer
    x = 605,372,638.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.