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Finding the Third Proportional to 106,110 and 228,017.53

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Solution

The third proportional to 106,110 and 228,017.53 is: 489,982.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,110 : 228,017.53 = 228,017.53 : x
  2. Step 2: Convert to fraction form
    106,110/228,017.53 = 228,017.53/x
  3. Step 3: Cross multiply
    106,110x = 228,017.53 × 228,017.53
  4. Step 4: Simplify right side
    106,110x = 51,991,994,557.34
  5. Step 5: Solve for x
    x = 51,991,994,557.34/106,110
  6. Step 6: Final answer
    x = 489,982.04

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.