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Finding the Third Proportional to 133,038.70 and 211,793.48

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Solution

The third proportional to 133,038.70 and 211,793.48 is: 337,168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,038.70 : 211,793.48 = 211,793.48 : x
  2. Step 2: Convert to fraction form
    133,038.70/211,793.48 = 211,793.48/x
  3. Step 3: Cross multiply
    133,038.70x = 211,793.48 × 211,793.48
  4. Step 4: Simplify right side
    133,038.70x = 44,856,480,023.70
  5. Step 5: Solve for x
    x = 44,856,480,023.70/133,038.70
  6. Step 6: Final answer
    x = 337,168.65

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.