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Finding the Third Proportional to 97,659.75 and 209,143.50

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Solution

The third proportional to 97,659.75 and 209,143.50 is: 447,891.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,659.75 : 209,143.50 = 209,143.50 : x
  2. Step 2: Convert to fraction form
    97,659.75/209,143.50 = 209,143.50/x
  3. Step 3: Cross multiply
    97,659.75x = 209,143.50 × 209,143.50
  4. Step 4: Simplify right side
    97,659.75x = 43,741,003,592.25
  5. Step 5: Solve for x
    x = 43,741,003,592.25/97,659.75
  6. Step 6: Final answer
    x = 447,891.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.