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Finding the Third Proportional to 189,043.03 and 415,356.19

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Solution

The third proportional to 189,043.03 and 415,356.19 is: 912,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,043.03 : 415,356.19 = 415,356.19 : x
  2. Step 2: Convert to fraction form
    189,043.03/415,356.19 = 415,356.19/x
  3. Step 3: Cross multiply
    189,043.03x = 415,356.19 × 415,356.19
  4. Step 4: Simplify right side
    189,043.03x = 172,520,762,494.54
  5. Step 5: Solve for x
    x = 172,520,762,494.54/189,043.03
  6. Step 6: Final answer
    x = 912,600.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.