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Finding the Third Proportional to 106,045.50 and 228,696

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Solution

The third proportional to 106,045.50 and 228,696 is: 493,202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,045.50 : 228,696 = 228,696 : x
  2. Step 2: Convert to fraction form
    106,045.50/228,696 = 228,696/x
  3. Step 3: Cross multiply
    106,045.50x = 228,696 × 228,696
  4. Step 4: Simplify right side
    106,045.50x = 52,301,860,416
  5. Step 5: Solve for x
    x = 52,301,860,416/106,045.50
  6. Step 6: Final answer
    x = 493,202.07

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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.