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Finding the Third Proportional to 45,511.88 and 99,012.38

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Solution

The third proportional to 45,511.88 and 99,012.38 is: 215,404.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,511.88 : 99,012.38 = 99,012.38 : x
  2. Step 2: Convert to fraction form
    45,511.88/99,012.38 = 99,012.38/x
  3. Step 3: Cross multiply
    45,511.88x = 99,012.38 × 99,012.38
  4. Step 4: Simplify right side
    45,511.88x = 9,803,450,403.14
  5. Step 5: Solve for x
    x = 9,803,450,403.14/45,511.88
  6. Step 6: Final answer
    x = 215,404.23

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.