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Finding the Third Proportional to 45,864.88 and 98,511.38

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Solution

The third proportional to 45,864.88 and 98,511.38 is: 211,588.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,864.88 : 98,511.38 = 98,511.38 : x
  2. Step 2: Convert to fraction form
    45,864.88/98,511.38 = 98,511.38/x
  3. Step 3: Cross multiply
    45,864.88x = 98,511.38 × 98,511.38
  4. Step 4: Simplify right side
    45,864.88x = 9,704,491,004.39
  5. Step 5: Solve for x
    x = 9,704,491,004.39/45,864.88
  6. Step 6: Final answer
    x = 211,588.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.