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Finding the Third Proportional to 200,361,523 and 306,501,176

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Solution

The third proportional to 200,361,523 and 306,501,176 is: 468,867,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,361,523 : 306,501,176 = 306,501,176 : x
  2. Step 2: Convert to fraction form
    200,361,523/306,501,176 = 306,501,176/x
  3. Step 3: Cross multiply
    200,361,523x = 306,501,176 × 306,501,176
  4. Step 4: Simplify right side
    200,361,523x = 93,942,970,889,382,976
  5. Step 5: Solve for x
    x = 93,942,970,889,382,976/200,361,523
  6. Step 6: Final answer
    x = 468,867,322.84

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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.