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Finding the Third Proportional to 105,147.49 and 228,041.58

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Solution

The third proportional to 105,147.49 and 228,041.58 is: 494,571.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,147.49 : 228,041.58 = 228,041.58 : x
  2. Step 2: Convert to fraction form
    105,147.49/228,041.58 = 228,041.58/x
  3. Step 3: Cross multiply
    105,147.49x = 228,041.58 × 228,041.58
  4. Step 4: Simplify right side
    105,147.49x = 52,002,961,353.74
  5. Step 5: Solve for x
    x = 52,002,961,353.74/105,147.49
  6. Step 6: Final answer
    x = 494,571.58

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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.