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Finding the Third Proportional to 200,361,519 and 306,501,170

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Solution

The third proportional to 200,361,519 and 306,501,170 is: 468,867,313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,361,519 : 306,501,170 = 306,501,170 : x
  2. Step 2: Convert to fraction form
    200,361,519/306,501,170 = 306,501,170/x
  3. Step 3: Cross multiply
    200,361,519x = 306,501,170 × 306,501,170
  4. Step 4: Simplify right side
    200,361,519x = 93,942,967,211,368,896
  5. Step 5: Solve for x
    x = 93,942,967,211,368,896/200,361,519
  6. Step 6: Final answer
    x = 468,867,313.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.