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Finding the Third Proportional to 133,189.88 and 203,748.63

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Solution

The third proportional to 133,189.88 and 203,748.63 is: 311,686.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,189.88 : 203,748.63 = 203,748.63 : x
  2. Step 2: Convert to fraction form
    133,189.88/203,748.63 = 203,748.63/x
  3. Step 3: Cross multiply
    133,189.88x = 203,748.63 × 203,748.63
  4. Step 4: Simplify right side
    133,189.88x = 41,513,502,189.39
  5. Step 5: Solve for x
    x = 41,513,502,189.39/133,189.88
  6. Step 6: Final answer
    x = 311,686.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.