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Finding the Third Proportional to 203,181,606 and 445,180,513.50

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Solution

The third proportional to 203,181,606 and 445,180,513.50 is: 975,411,571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,181,606 : 445,180,513.50 = 445,180,513.50 : x
  2. Step 2: Convert to fraction form
    203,181,606/445,180,513.50 = 445,180,513.50/x
  3. Step 3: Cross multiply
    203,181,606x = 445,180,513.50 × 445,180,513.50
  4. Step 4: Simplify right side
    203,181,606x = 198,185,689,600,123,680
  5. Step 5: Solve for x
    x = 198,185,689,600,123,680/203,181,606
  6. Step 6: Final answer
    x = 975,411,571.46

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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.