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Finding the Third Proportional to 195,106,122 and 280,435,939

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Solution

The third proportional to 195,106,122 and 280,435,939 is: 403,084,819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,106,122 : 280,435,939 = 280,435,939 : x
  2. Step 2: Convert to fraction form
    195,106,122/280,435,939 = 280,435,939/x
  3. Step 3: Cross multiply
    195,106,122x = 280,435,939 × 280,435,939
  4. Step 4: Simplify right side
    195,106,122x = 78,644,315,882,811,728
  5. Step 5: Solve for x
    x = 78,644,315,882,811,728/195,106,122
  6. Step 6: Final answer
    x = 403,084,819.05

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.