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Finding the Third Proportional to 45,411.75 and 95,780.25

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Solution

The third proportional to 45,411.75 and 95,780.25 is: 202,015.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,411.75 : 95,780.25 = 95,780.25 : x
  2. Step 2: Convert to fraction form
    45,411.75/95,780.25 = 95,780.25/x
  3. Step 3: Cross multiply
    45,411.75x = 95,780.25 × 95,780.25
  4. Step 4: Simplify right side
    45,411.75x = 9,173,856,290.06
  5. Step 5: Solve for x
    x = 9,173,856,290.06/45,411.75
  6. Step 6: Final answer
    x = 202,015.04

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.