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Finding the Third Proportional to 103,897.69 and 224,013.94

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Solution

The third proportional to 103,897.69 and 224,013.94 is: 482,996.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,897.69 : 224,013.94 = 224,013.94 : x
  2. Step 2: Convert to fraction form
    103,897.69/224,013.94 = 224,013.94/x
  3. Step 3: Cross multiply
    103,897.69x = 224,013.94 × 224,013.94
  4. Step 4: Simplify right side
    103,897.69x = 50,182,244,194.25
  5. Step 5: Solve for x
    x = 50,182,244,194.25/103,897.69
  6. Step 6: Final answer
    x = 482,996.74

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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.