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Finding the Third Proportional to 106,851.66 and 228,004.03

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Solution

The third proportional to 106,851.66 and 228,004.03 is: 486,523.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,851.66 : 228,004.03 = 228,004.03 : x
  2. Step 2: Convert to fraction form
    106,851.66/228,004.03 = 228,004.03/x
  3. Step 3: Cross multiply
    106,851.66x = 228,004.03 × 228,004.03
  4. Step 4: Simplify right side
    106,851.66x = 51,985,838,266.25
  5. Step 5: Solve for x
    x = 51,985,838,266.25/106,851.66
  6. Step 6: Final answer
    x = 486,523.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.