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Finding the Third Proportional to 106,113 and 228,804

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Solution

The third proportional to 106,113 and 228,804 is: 493,353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,113 : 228,804 = 228,804 : x
  2. Step 2: Convert to fraction form
    106,113/228,804 = 228,804/x
  3. Step 3: Cross multiply
    106,113x = 228,804 × 228,804
  4. Step 4: Simplify right side
    106,113x = 52,351,270,416
  5. Step 5: Solve for x
    x = 52,351,270,416/106,113
  6. Step 6: Final answer
    x = 493,353.98

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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.