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Finding the Third Proportional to 106,419.19 and 228,982.69

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Solution

The third proportional to 106,419.19 and 228,982.69 is: 492,703.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,419.19 : 228,982.69 = 228,982.69 : x
  2. Step 2: Convert to fraction form
    106,419.19/228,982.69 = 228,982.69/x
  3. Step 3: Cross multiply
    106,419.19x = 228,982.69 × 228,982.69
  4. Step 4: Simplify right side
    106,419.19x = 52,433,071,174.72
  5. Step 5: Solve for x
    x = 52,433,071,174.72/106,419.19
  6. Step 6: Final answer
    x = 492,703.17

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Why These Related Problems?

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