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Finding the Third Proportional to 103,611.66 and 228,999.66

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Solution

The third proportional to 103,611.66 and 228,999.66 is: 506,128.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,611.66 : 228,999.66 = 228,999.66 : x
  2. Step 2: Convert to fraction form
    103,611.66/228,999.66 = 228,999.66/x
  3. Step 3: Cross multiply
    103,611.66x = 228,999.66 × 228,999.66
  4. Step 4: Simplify right side
    103,611.66x = 52,440,842,562.62
  5. Step 5: Solve for x
    x = 52,440,842,562.62/103,611.66
  6. Step 6: Final answer
    x = 506,128.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.