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Finding the Third Proportional to 85,669,733 and 130,512,266

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Solution

The third proportional to 85,669,733 and 130,512,266 is: 198,826,948.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,669,733 : 130,512,266 = 130,512,266 : x
  2. Step 2: Convert to fraction form
    85,669,733/130,512,266 = 130,512,266/x
  3. Step 3: Cross multiply
    85,669,733x = 130,512,266 × 130,512,266
  4. Step 4: Simplify right side
    85,669,733x = 17,033,451,576,454,756
  5. Step 5: Solve for x
    x = 17,033,451,576,454,756/85,669,733
  6. Step 6: Final answer
    x = 198,826,948.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.