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Finding the Third Proportional to 189,992,871 and 416,305,800

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Solution

The third proportional to 189,992,871 and 416,305,800 is: 912,194,853.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,992,871 : 416,305,800 = 416,305,800 : x
  2. Step 2: Convert to fraction form
    189,992,871/416,305,800 = 416,305,800/x
  3. Step 3: Cross multiply
    189,992,871x = 416,305,800 × 416,305,800
  4. Step 4: Simplify right side
    189,992,871x = 173,310,519,113,640,000
  5. Step 5: Solve for x
    x = 173,310,519,113,640,000/189,992,871
  6. Step 6: Final answer
    x = 912,194,853.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.