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Finding the Third Proportional to 100,914 and 228,043

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Solution

The third proportional to 100,914 and 228,043 is: 515,326.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,914 : 228,043 = 228,043 : x
  2. Step 2: Convert to fraction form
    100,914/228,043 = 228,043/x
  3. Step 3: Cross multiply
    100,914x = 228,043 × 228,043
  4. Step 4: Simplify right side
    100,914x = 52,003,609,849
  5. Step 5: Solve for x
    x = 52,003,609,849/100,914
  6. Step 6: Final answer
    x = 515,326.02

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.