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Finding the Third Proportional to 200,013,144 and 300,552,324

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Solution

The third proportional to 200,013,144 and 300,552,324 is: 451,628,816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,013,144 : 300,552,324 = 300,552,324 : x
  2. Step 2: Convert to fraction form
    200,013,144/300,552,324 = 300,552,324/x
  3. Step 3: Cross multiply
    200,013,144x = 300,552,324 × 300,552,324
  4. Step 4: Simplify right side
    200,013,144x = 90,331,699,461,800,976
  5. Step 5: Solve for x
    x = 90,331,699,461,800,976/200,013,144
  6. Step 6: Final answer
    x = 451,628,816.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.