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Finding the Third Proportional to 192,920.63 and 415,471.88

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Solution

The third proportional to 192,920.63 and 415,471.88 is: 894,755.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,920.63 : 415,471.88 = 415,471.88 : x
  2. Step 2: Convert to fraction form
    192,920.63/415,471.88 = 415,471.88/x
  3. Step 3: Cross multiply
    192,920.63x = 415,471.88 × 415,471.88
  4. Step 4: Simplify right side
    192,920.63x = 172,616,878,916.02
  5. Step 5: Solve for x
    x = 172,616,878,916.02/192,920.63
  6. Step 6: Final answer
    x = 894,755.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.