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Finding the Third Proportional to 105,844.50 and 228,753

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Solution

The third proportional to 105,844.50 and 228,753 is: 494,385.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,844.50 : 228,753 = 228,753 : x
  2. Step 2: Convert to fraction form
    105,844.50/228,753 = 228,753/x
  3. Step 3: Cross multiply
    105,844.50x = 228,753 × 228,753
  4. Step 4: Simplify right side
    105,844.50x = 52,327,935,009
  5. Step 5: Solve for x
    x = 52,327,935,009/105,844.50
  6. Step 6: Final answer
    x = 494,385.02

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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.