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Finding the Third Proportional to 183,664,119 and 399,611,976

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Solution

The third proportional to 183,664,119 and 399,611,976 is: 869,466,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,664,119 : 399,611,976 = 399,611,976 : x
  2. Step 2: Convert to fraction form
    183,664,119/399,611,976 = 399,611,976/x
  3. Step 3: Cross multiply
    183,664,119x = 399,611,976 × 399,611,976
  4. Step 4: Simplify right side
    183,664,119x = 159,689,731,362,624,576
  5. Step 5: Solve for x
    x = 159,689,731,362,624,576/183,664,119
  6. Step 6: Final answer
    x = 869,466,133.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.