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Finding the Third Proportional to 400,189,200.75 and 867,171,406.50

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Solution

The third proportional to 400,189,200.75 and 867,171,406.50 is: 1,879,076,813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,189,200.75 : 867,171,406.50 = 867,171,406.50 : x
  2. Step 2: Convert to fraction form
    400,189,200.75/867,171,406.50 = 867,171,406.50/x
  3. Step 3: Cross multiply
    400,189,200.75x = 867,171,406.50 × 867,171,406.50
  4. Step 4: Simplify right side
    400,189,200.75x = 751,986,248,251,188,224
  5. Step 5: Solve for x
    x = 751,986,248,251,188,224/400,189,200.75
  6. Step 6: Final answer
    x = 1,879,076,813.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.