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Finding the Third Proportional to 45,444.75 and 95,065.50

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Solution

The third proportional to 45,444.75 and 95,065.50 is: 198,866.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,444.75 : 95,065.50 = 95,065.50 : x
  2. Step 2: Convert to fraction form
    45,444.75/95,065.50 = 95,065.50/x
  3. Step 3: Cross multiply
    45,444.75x = 95,065.50 × 95,065.50
  4. Step 4: Simplify right side
    45,444.75x = 9,037,449,290.25
  5. Step 5: Solve for x
    x = 9,037,449,290.25/45,444.75
  6. Step 6: Final answer
    x = 198,866.74

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.