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Finding the Third Proportional to 106,044.94 and 228,694.88

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Solution

The third proportional to 106,044.94 and 228,694.88 is: 493,199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,044.94 : 228,694.88 = 228,694.88 : x
  2. Step 2: Convert to fraction form
    106,044.94/228,694.88 = 228,694.88/x
  3. Step 3: Cross multiply
    106,044.94x = 228,694.88 × 228,694.88
  4. Step 4: Simplify right side
    106,044.94x = 52,301,345,851.27
  5. Step 5: Solve for x
    x = 52,301,345,851.27/106,044.94
  6. Step 6: Final answer
    x = 493,199.84

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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.