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Finding the Third Proportional to 101,953.69 and 224,076.38

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Solution

The third proportional to 101,953.69 and 224,076.38 is: 492,480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,953.69 : 224,076.38 = 224,076.38 : x
  2. Step 2: Convert to fraction form
    101,953.69/224,076.38 = 224,076.38/x
  3. Step 3: Cross multiply
    101,953.69x = 224,076.38 × 224,076.38
  4. Step 4: Simplify right side
    101,953.69x = 50,210,221,833.14
  5. Step 5: Solve for x
    x = 50,210,221,833.14/101,953.69
  6. Step 6: Final answer
    x = 492,480.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.