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Finding the Third Proportional to 44,355.09 and 96,197.03

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Solution

The third proportional to 44,355.09 and 96,197.03 is: 208,631.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,355.09 : 96,197.03 = 96,197.03 : x
  2. Step 2: Convert to fraction form
    44,355.09/96,197.03 = 96,197.03/x
  3. Step 3: Cross multiply
    44,355.09x = 96,197.03 × 96,197.03
  4. Step 4: Simplify right side
    44,355.09x = 9,253,868,915.26
  5. Step 5: Solve for x
    x = 9,253,868,915.26/44,355.09
  6. Step 6: Final answer
    x = 208,631.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.