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Finding the Third Proportional to 94,397,847 and 205,408,146

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Solution

The third proportional to 94,397,847 and 205,408,146 is: 446,964,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,397,847 : 205,408,146 = 205,408,146 : x
  2. Step 2: Convert to fraction form
    94,397,847/205,408,146 = 205,408,146/x
  3. Step 3: Cross multiply
    94,397,847x = 205,408,146 × 205,408,146
  4. Step 4: Simplify right side
    94,397,847x = 42,192,506,443,157,312
  5. Step 5: Solve for x
    x = 42,192,506,443,157,312/94,397,847
  6. Step 6: Final answer
    x = 446,964,711.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.