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Finding the Third Proportional to 98,446.50 and 214,711.31

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Solution

The third proportional to 98,446.50 and 214,711.31 is: 468,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,446.50 : 214,711.31 = 214,711.31 : x
  2. Step 2: Convert to fraction form
    98,446.50/214,711.31 = 214,711.31/x
  3. Step 3: Cross multiply
    98,446.50x = 214,711.31 × 214,711.31
  4. Step 4: Simplify right side
    98,446.50x = 46,100,947,715.47
  5. Step 5: Solve for x
    x = 46,100,947,715.47/98,446.50
  6. Step 6: Final answer
    x = 468,284.27

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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.