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Finding the Third Proportional to 150,943,494 and 323,413,620

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Solution

The third proportional to 150,943,494 and 323,413,620 is: 692,950,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,943,494 : 323,413,620 = 323,413,620 : x
  2. Step 2: Convert to fraction form
    150,943,494/323,413,620 = 323,413,620/x
  3. Step 3: Cross multiply
    150,943,494x = 323,413,620 × 323,413,620
  4. Step 4: Simplify right side
    150,943,494x = 104,596,369,601,504,400
  5. Step 5: Solve for x
    x = 104,596,369,601,504,400/150,943,494
  6. Step 6: Final answer
    x = 692,950,499.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.