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Finding the Third Proportional to 106,043.25 and 228,691.50

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Solution

The third proportional to 106,043.25 and 228,691.50 is: 493,193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,043.25 : 228,691.50 = 228,691.50 : x
  2. Step 2: Convert to fraction form
    106,043.25/228,691.50 = 228,691.50/x
  3. Step 3: Cross multiply
    106,043.25x = 228,691.50 × 228,691.50
  4. Step 4: Simplify right side
    106,043.25x = 52,299,802,172.25
  5. Step 5: Solve for x
    x = 52,299,802,172.25/106,043.25
  6. Step 6: Final answer
    x = 493,193.13

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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.