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Finding the Third Proportional to 73,790,766 and 161,482,096

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Solution

The third proportional to 73,790,766 and 161,482,096 is: 353,383,881.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,790,766 : 161,482,096 = 161,482,096 : x
  2. Step 2: Convert to fraction form
    73,790,766/161,482,096 = 161,482,096/x
  3. Step 3: Cross multiply
    73,790,766x = 161,482,096 × 161,482,096
  4. Step 4: Simplify right side
    73,790,766x = 26,076,467,328,553,216
  5. Step 5: Solve for x
    x = 26,076,467,328,553,216/73,790,766
  6. Step 6: Final answer
    x = 353,383,881.78

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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.