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Finding the Third Proportional to 84,616.94 and 185,842.44

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Solution

The third proportional to 84,616.94 and 185,842.44 is: 408,161.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,616.94 : 185,842.44 = 185,842.44 : x
  2. Step 2: Convert to fraction form
    84,616.94/185,842.44 = 185,842.44/x
  3. Step 3: Cross multiply
    84,616.94x = 185,842.44 × 185,842.44
  4. Step 4: Simplify right side
    84,616.94x = 34,537,411,575.94
  5. Step 5: Solve for x
    x = 34,537,411,575.94/84,616.94
  6. Step 6: Final answer
    x = 408,161.92

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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.