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Finding the Third Proportional to 107,235.56 and 211,777.88

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Solution

The third proportional to 107,235.56 and 211,777.88 is: 418,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,235.56 : 211,777.88 = 211,777.88 : x
  2. Step 2: Convert to fraction form
    107,235.56/211,777.88 = 211,777.88/x
  3. Step 3: Cross multiply
    107,235.56x = 211,777.88 × 211,777.88
  4. Step 4: Simplify right side
    107,235.56x = 44,849,868,339.52
  5. Step 5: Solve for x
    x = 44,849,868,339.52/107,235.56
  6. Step 6: Final answer
    x = 418,236.89

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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.