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Finding the Third Proportional to 65,116,256 and 135,591,152

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Solution

The third proportional to 65,116,256 and 135,591,152 is: 282,340,564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,116,256 : 135,591,152 = 135,591,152 : x
  2. Step 2: Convert to fraction form
    65,116,256/135,591,152 = 135,591,152/x
  3. Step 3: Cross multiply
    65,116,256x = 135,591,152 × 135,591,152
  4. Step 4: Simplify right side
    65,116,256x = 18,384,960,500,687,104
  5. Step 5: Solve for x
    x = 18,384,960,500,687,104/65,116,256
  6. Step 6: Final answer
    x = 282,340,564.86

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.