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Finding the Third Proportional to 45,897.75 and 97,310.25

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Solution

The third proportional to 45,897.75 and 97,310.25 is: 206,312.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,897.75 : 97,310.25 = 97,310.25 : x
  2. Step 2: Convert to fraction form
    45,897.75/97,310.25 = 97,310.25/x
  3. Step 3: Cross multiply
    45,897.75x = 97,310.25 × 97,310.25
  4. Step 4: Simplify right side
    45,897.75x = 9,469,284,755.06
  5. Step 5: Solve for x
    x = 9,469,284,755.06/45,897.75
  6. Step 6: Final answer
    x = 206,312.61

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.