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Finding the Third Proportional to 104,010.75 and 228,308.63

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Solution

The third proportional to 104,010.75 and 228,308.63 is: 501,148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,010.75 : 228,308.63 = 228,308.63 : x
  2. Step 2: Convert to fraction form
    104,010.75/228,308.63 = 228,308.63/x
  3. Step 3: Cross multiply
    104,010.75x = 228,308.63 × 228,308.63
  4. Step 4: Simplify right side
    104,010.75x = 52,124,828,249.39
  5. Step 5: Solve for x
    x = 52,124,828,249.39/104,010.75
  6. Step 6: Final answer
    x = 501,148.47

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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.