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Finding the Third Proportional to 198,035.44 and 427,638.94

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Solution

The third proportional to 198,035.44 and 427,638.94 is: 923,446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,035.44 : 427,638.94 = 427,638.94 : x
  2. Step 2: Convert to fraction form
    198,035.44/427,638.94 = 427,638.94/x
  3. Step 3: Cross multiply
    198,035.44x = 427,638.94 × 427,638.94
  4. Step 4: Simplify right side
    198,035.44x = 182,875,060,866.13
  5. Step 5: Solve for x
    x = 182,875,060,866.13/198,035.44
  6. Step 6: Final answer
    x = 923,446.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.