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Finding the Third Proportional to 132,261,120 and 280,256,256

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Solution

The third proportional to 132,261,120 and 280,256,256 is: 593,852,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,261,120 : 280,256,256 = 280,256,256 : x
  2. Step 2: Convert to fraction form
    132,261,120/280,256,256 = 280,256,256/x
  3. Step 3: Cross multiply
    132,261,120x = 280,256,256 × 280,256,256
  4. Step 4: Simplify right side
    132,261,120x = 78,543,569,027,137,536
  5. Step 5: Solve for x
    x = 78,543,569,027,137,536/132,261,120
  6. Step 6: Final answer
    x = 593,852,290.28

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.