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Finding the Third Proportional to 166,802,839 and 347,411,814

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Solution

The third proportional to 166,802,839 and 347,411,814 is: 723,578,622.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,802,839 : 347,411,814 = 347,411,814 : x
  2. Step 2: Convert to fraction form
    166,802,839/347,411,814 = 347,411,814/x
  3. Step 3: Cross multiply
    166,802,839x = 347,411,814 × 347,411,814
  4. Step 4: Simplify right side
    166,802,839x = 120,694,968,506,770,592
  5. Step 5: Solve for x
    x = 120,694,968,506,770,592/166,802,839
  6. Step 6: Final answer
    x = 723,578,622.70

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