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Finding the Third Proportional to 192,311,813.25 and 297,967,865.63

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Solution

The third proportional to 192,311,813.25 and 297,967,865.63 is: 461,671,321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,311,813.25 : 297,967,865.63 = 297,967,865.63 : x
  2. Step 2: Convert to fraction form
    192,311,813.25/297,967,865.63 = 297,967,865.63/x
  3. Step 3: Cross multiply
    192,311,813.25x = 297,967,865.63 × 297,967,865.63
  4. Step 4: Simplify right side
    192,311,813.25x = 88,784,848,945,118,064
  5. Step 5: Solve for x
    x = 88,784,848,945,118,064/192,311,813.25
  6. Step 6: Final answer
    x = 461,671,321.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.