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Finding the Third Proportional to 106,146 and 228,897

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Solution

The third proportional to 106,146 and 228,897 is: 493,601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,146 : 228,897 = 228,897 : x
  2. Step 2: Convert to fraction form
    106,146/228,897 = 228,897/x
  3. Step 3: Cross multiply
    106,146x = 228,897 × 228,897
  4. Step 4: Simplify right side
    106,146x = 52,393,836,609
  5. Step 5: Solve for x
    x = 52,393,836,609/106,146
  6. Step 6: Final answer
    x = 493,601.61

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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.