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Finding the Third Proportional to 45,139.78 and 96,111.56

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Solution

The third proportional to 45,139.78 and 96,111.56 is: 204,640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,139.78 : 96,111.56 = 96,111.56 : x
  2. Step 2: Convert to fraction form
    45,139.78/96,111.56 = 96,111.56/x
  3. Step 3: Cross multiply
    45,139.78x = 96,111.56 × 96,111.56
  4. Step 4: Simplify right side
    45,139.78x = 9,237,432,446.19
  5. Step 5: Solve for x
    x = 9,237,432,446.19/45,139.78
  6. Step 6: Final answer
    x = 204,640.61

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.