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Finding the Third Proportional to 194,156,919 and 415,948,770

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Solution

The third proportional to 194,156,919 and 415,948,770 is: 891,100,766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,156,919 : 415,948,770 = 415,948,770 : x
  2. Step 2: Convert to fraction form
    194,156,919/415,948,770 = 415,948,770/x
  3. Step 3: Cross multiply
    194,156,919x = 415,948,770 × 415,948,770
  4. Step 4: Simplify right side
    194,156,919x = 173,013,379,264,512,896
  5. Step 5: Solve for x
    x = 173,013,379,264,512,896/194,156,919
  6. Step 6: Final answer
    x = 891,100,766.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.