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Finding the Third Proportional to 132,112,334 and 276,270,664

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Solution

The third proportional to 132,112,334 and 276,270,664 is: 577,731,673.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,112,334 : 276,270,664 = 276,270,664 : x
  2. Step 2: Convert to fraction form
    132,112,334/276,270,664 = 276,270,664/x
  3. Step 3: Cross multiply
    132,112,334x = 276,270,664 × 276,270,664
  4. Step 4: Simplify right side
    132,112,334x = 76,325,479,787,000,896
  5. Step 5: Solve for x
    x = 76,325,479,787,000,896/132,112,334
  6. Step 6: Final answer
    x = 577,731,673.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.