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Finding the Third Proportional to 148,701,808 and 322,107,968

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Solution

The third proportional to 148,701,808 and 322,107,968 is: 697,728,860.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,701,808 : 322,107,968 = 322,107,968 : x
  2. Step 2: Convert to fraction form
    148,701,808/322,107,968 = 322,107,968/x
  3. Step 3: Cross multiply
    148,701,808x = 322,107,968 × 322,107,968
  4. Step 4: Simplify right side
    148,701,808x = 103,753,543,049,089,024
  5. Step 5: Solve for x
    x = 103,753,543,049,089,024/148,701,808
  6. Step 6: Final answer
    x = 697,728,860.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.