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Finding the Third Proportional to 103,957 and 224,532.50

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Solution

The third proportional to 103,957 and 224,532.50 is: 484,958.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,957 : 224,532.50 = 224,532.50 : x
  2. Step 2: Convert to fraction form
    103,957/224,532.50 = 224,532.50/x
  3. Step 3: Cross multiply
    103,957x = 224,532.50 × 224,532.50
  4. Step 4: Simplify right side
    103,957x = 50,414,843,556.25
  5. Step 5: Solve for x
    x = 50,414,843,556.25/103,957
  6. Step 6: Final answer
    x = 484,958.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.