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Finding the Third Proportional to 84,912,245 and 185,723,266

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Solution

The third proportional to 84,912,245 and 185,723,266 is: 406,220,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,912,245 : 185,723,266 = 185,723,266 : x
  2. Step 2: Convert to fraction form
    84,912,245/185,723,266 = 185,723,266/x
  3. Step 3: Cross multiply
    84,912,245x = 185,723,266 × 185,723,266
  4. Step 4: Simplify right side
    84,912,245x = 34,493,131,533,706,756
  5. Step 5: Solve for x
    x = 34,493,131,533,706,756/84,912,245
  6. Step 6: Final answer
    x = 406,220,934.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.