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Finding the Third Proportional to 45,284.75 and 99,317.50

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Solution

The third proportional to 45,284.75 and 99,317.50 is: 217,820.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,284.75 : 99,317.50 = 99,317.50 : x
  2. Step 2: Convert to fraction form
    45,284.75/99,317.50 = 99,317.50/x
  3. Step 3: Cross multiply
    45,284.75x = 99,317.50 × 99,317.50
  4. Step 4: Simplify right side
    45,284.75x = 9,863,965,806.25
  5. Step 5: Solve for x
    x = 9,863,965,806.25/45,284.75
  6. Step 6: Final answer
    x = 217,820.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.