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Finding the Third Proportional to 49,423,002.38 and 102,936,716.44

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Solution

The third proportional to 49,423,002.38 and 102,936,716.44 is: 214,393,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,423,002.38 : 102,936,716.44 = 102,936,716.44 : x
  2. Step 2: Convert to fraction form
    49,423,002.38/102,936,716.44 = 102,936,716.44/x
  3. Step 3: Cross multiply
    49,423,002.38x = 102,936,716.44 × 102,936,716.44
  4. Step 4: Simplify right side
    49,423,002.38x = 10,595,967,590,934,282
  5. Step 5: Solve for x
    x = 10,595,967,590,934,282/49,423,002.38
  6. Step 6: Final answer
    x = 214,393,441.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.