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Finding the Third Proportional to 225,487,369.69 and 471,591,120.94

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Solution

The third proportional to 225,487,369.69 and 471,591,120.94 is: 986,299,967.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,487,369.69 : 471,591,120.94 = 471,591,120.94 : x
  2. Step 2: Convert to fraction form
    225,487,369.69/471,591,120.94 = 471,591,120.94/x
  3. Step 3: Cross multiply
    225,487,369.69x = 471,591,120.94 × 471,591,120.94
  4. Step 4: Simplify right side
    225,487,369.69x = 222,398,185,347,087,744
  5. Step 5: Solve for x
    x = 222,398,185,347,087,744/225,487,369.69
  6. Step 6: Final answer
    x = 986,299,967.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.