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Finding the Third Proportional to 44,653.53 and 96,317.97

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Solution

The third proportional to 44,653.53 and 96,317.97 is: 207,758.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,653.53 : 96,317.97 = 96,317.97 : x
  2. Step 2: Convert to fraction form
    44,653.53/96,317.97 = 96,317.97/x
  3. Step 3: Cross multiply
    44,653.53x = 96,317.97 × 96,317.97
  4. Step 4: Simplify right side
    44,653.53x = 9,277,151,104.13
  5. Step 5: Solve for x
    x = 9,277,151,104.13/44,653.53
  6. Step 6: Final answer
    x = 207,758.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.