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Finding the Third Proportional to 54,299,203.50 and 110,989,891.50

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Solution

The third proportional to 54,299,203.50 and 110,989,891.50 is: 226,868,079.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,299,203.50 : 110,989,891.50 = 110,989,891.50 : x
  2. Step 2: Convert to fraction form
    54,299,203.50/110,989,891.50 = 110,989,891.50/x
  3. Step 3: Cross multiply
    54,299,203.50x = 110,989,891.50 × 110,989,891.50
  4. Step 4: Simplify right side
    54,299,203.50x = 12,318,756,015,181,772
  5. Step 5: Solve for x
    x = 12,318,756,015,181,772/54,299,203.50
  6. Step 6: Final answer
    x = 226,868,079.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.