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Finding the Third Proportional to 105,798.94 and 228,205.13

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Solution

The third proportional to 105,798.94 and 228,205.13 is: 492,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,798.94 : 228,205.13 = 228,205.13 : x
  2. Step 2: Convert to fraction form
    105,798.94/228,205.13 = 228,205.13/x
  3. Step 3: Cross multiply
    105,798.94x = 228,205.13 × 228,205.13
  4. Step 4: Simplify right side
    105,798.94x = 52,077,579,076.27
  5. Step 5: Solve for x
    x = 52,077,579,076.27/105,798.94
  6. Step 6: Final answer
    x = 492,231.59

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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.