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Finding the Third Proportional to 105,840.84 and 228,933.84

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Solution

The third proportional to 105,840.84 and 228,933.84 is: 495,184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,840.84 : 228,933.84 = 228,933.84 : x
  2. Step 2: Convert to fraction form
    105,840.84/228,933.84 = 228,933.84/x
  3. Step 3: Cross multiply
    105,840.84x = 228,933.84 × 228,933.84
  4. Step 4: Simplify right side
    105,840.84x = 52,410,704,814.15
  5. Step 5: Solve for x
    x = 52,410,704,814.15/105,840.84
  6. Step 6: Final answer
    x = 495,184.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.