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Finding the Third Proportional to 183,463.31 and 403,102.83

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Solution

The third proportional to 183,463.31 and 403,102.83 is: 885,691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,463.31 : 403,102.83 = 403,102.83 : x
  2. Step 2: Convert to fraction form
    183,463.31/403,102.83 = 403,102.83/x
  3. Step 3: Cross multiply
    183,463.31x = 403,102.83 × 403,102.83
  4. Step 4: Simplify right side
    183,463.31x = 162,491,890,042.37
  5. Step 5: Solve for x
    x = 162,491,890,042.37/183,463.31
  6. Step 6: Final answer
    x = 885,691.47

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Why These Related Problems?

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