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Finding the Third Proportional to 65,116,260 and 135,591,160

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Solution

The third proportional to 65,116,260 and 135,591,160 is: 282,340,580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,116,260 : 135,591,160 = 135,591,160 : x
  2. Step 2: Convert to fraction form
    65,116,260/135,591,160 = 135,591,160/x
  3. Step 3: Cross multiply
    65,116,260x = 135,591,160 × 135,591,160
  4. Step 4: Simplify right side
    65,116,260x = 18,384,962,670,145,600
  5. Step 5: Solve for x
    x = 18,384,962,670,145,600/65,116,260
  6. Step 6: Final answer
    x = 282,340,580.83

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Why These Related Problems?

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