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Finding the Third Proportional to 107,232.61 and 211,773.87

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Solution

The third proportional to 107,232.61 and 211,773.87 is: 418,232.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,232.61 : 211,773.87 = 211,773.87 : x
  2. Step 2: Convert to fraction form
    107,232.61/211,773.87 = 211,773.87/x
  3. Step 3: Cross multiply
    107,232.61x = 211,773.87 × 211,773.87
  4. Step 4: Simplify right side
    107,232.61x = 44,848,170,823.55
  5. Step 5: Solve for x
    x = 44,848,170,823.55/107,232.61
  6. Step 6: Final answer
    x = 418,232.58

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.