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Finding the Third Proportional to 45,204.50 and 98,337

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Solution

The third proportional to 45,204.50 and 98,337 is: 213,920.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,204.50 : 98,337 = 98,337 : x
  2. Step 2: Convert to fraction form
    45,204.50/98,337 = 98,337/x
  3. Step 3: Cross multiply
    45,204.50x = 98,337 × 98,337
  4. Step 4: Simplify right side
    45,204.50x = 9,670,165,569
  5. Step 5: Solve for x
    x = 9,670,165,569/45,204.50
  6. Step 6: Final answer
    x = 213,920.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.