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Finding the Third Proportional to 41,458.50 and 97,449

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Solution

The third proportional to 41,458.50 and 97,449 is: 229,055.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,458.50 : 97,449 = 97,449 : x
  2. Step 2: Convert to fraction form
    41,458.50/97,449 = 97,449/x
  3. Step 3: Cross multiply
    41,458.50x = 97,449 × 97,449
  4. Step 4: Simplify right side
    41,458.50x = 9,496,307,601
  5. Step 5: Solve for x
    x = 9,496,307,601/41,458.50
  6. Step 6: Final answer
    x = 229,055.74

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.