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Finding the Third Proportional to 105,172.88 and 228,091.50

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Solution

The third proportional to 105,172.88 and 228,091.50 is: 494,668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,172.88 : 228,091.50 = 228,091.50 : x
  2. Step 2: Convert to fraction form
    105,172.88/228,091.50 = 228,091.50/x
  3. Step 3: Cross multiply
    105,172.88x = 228,091.50 × 228,091.50
  4. Step 4: Simplify right side
    105,172.88x = 52,025,732,372.25
  5. Step 5: Solve for x
    x = 52,025,732,372.25/105,172.88
  6. Step 6: Final answer
    x = 494,668.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.