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Finding the Third Proportional to 103,624.08 and 228,122.89

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Solution

The third proportional to 103,624.08 and 228,122.89 is: 502,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,624.08 : 228,122.89 = 228,122.89 : x
  2. Step 2: Convert to fraction form
    103,624.08/228,122.89 = 228,122.89/x
  3. Step 3: Cross multiply
    103,624.08x = 228,122.89 × 228,122.89
  4. Step 4: Simplify right side
    103,624.08x = 52,040,055,009.32
  5. Step 5: Solve for x
    x = 52,040,055,009.32/103,624.08
  6. Step 6: Final answer
    x = 502,200.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.