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Finding the Third Proportional to 103,221 and 150,848.44

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Solution

The third proportional to 103,221 and 150,848.44 is: 220,451.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,221 : 150,848.44 = 150,848.44 : x
  2. Step 2: Convert to fraction form
    103,221/150,848.44 = 150,848.44/x
  3. Step 3: Cross multiply
    103,221x = 150,848.44 × 150,848.44
  4. Step 4: Simplify right side
    103,221x = 22,755,251,096.19
  5. Step 5: Solve for x
    x = 22,755,251,096.19/103,221
  6. Step 6: Final answer
    x = 220,451.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.