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Finding the Third Proportional to 102,939,876 and 160,486,839

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Solution

The third proportional to 102,939,876 and 160,486,839 is: 250,204,551.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,939,876 : 160,486,839 = 160,486,839 : x
  2. Step 2: Convert to fraction form
    102,939,876/160,486,839 = 160,486,839/x
  3. Step 3: Cross multiply
    102,939,876x = 160,486,839 × 160,486,839
  4. Step 4: Simplify right side
    102,939,876x = 25,756,025,492,211,920
  5. Step 5: Solve for x
    x = 25,756,025,492,211,920/102,939,876
  6. Step 6: Final answer
    x = 250,204,551.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.