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Finding the Third Proportional to 45,928.69 and 98,418.38

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Solution

The third proportional to 45,928.69 and 98,418.38 is: 210,896.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,928.69 : 98,418.38 = 98,418.38 : x
  2. Step 2: Convert to fraction form
    45,928.69/98,418.38 = 98,418.38/x
  3. Step 3: Cross multiply
    45,928.69x = 98,418.38 × 98,418.38
  4. Step 4: Simplify right side
    45,928.69x = 9,686,176,537.64
  5. Step 5: Solve for x
    x = 9,686,176,537.64/45,928.69
  6. Step 6: Final answer
    x = 210,896.00

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.