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Finding the Third Proportional to 97,338.38 and 211,200.75

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Solution

The third proportional to 97,338.38 and 211,200.75 is: 458,254.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,338.38 : 211,200.75 = 211,200.75 : x
  2. Step 2: Convert to fraction form
    97,338.38/211,200.75 = 211,200.75/x
  3. Step 3: Cross multiply
    97,338.38x = 211,200.75 × 211,200.75
  4. Step 4: Simplify right side
    97,338.38x = 44,605,756,800.56
  5. Step 5: Solve for x
    x = 44,605,756,800.56/97,338.38
  6. Step 6: Final answer
    x = 458,254.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.