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Finding the Third Proportional to 198,042.38 and 427,649.63

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Solution

The third proportional to 198,042.38 and 427,649.63 is: 923,459.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,042.38 : 427,649.63 = 427,649.63 : x
  2. Step 2: Convert to fraction form
    198,042.38/427,649.63 = 427,649.63/x
  3. Step 3: Cross multiply
    198,042.38x = 427,649.63 × 427,649.63
  4. Step 4: Simplify right side
    198,042.38x = 182,884,201,762.64
  5. Step 5: Solve for x
    x = 182,884,201,762.64/198,042.38
  6. Step 6: Final answer
    x = 923,459.95

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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.