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Finding the Third Proportional to 107,238.94 and 211,784.63

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Solution

The third proportional to 107,238.94 and 211,784.63 is: 418,250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,238.94 : 211,784.63 = 211,784.63 : x
  2. Step 2: Convert to fraction form
    107,238.94/211,784.63 = 211,784.63/x
  3. Step 3: Cross multiply
    107,238.94x = 211,784.63 × 211,784.63
  4. Step 4: Simplify right side
    107,238.94x = 44,852,727,386.39
  5. Step 5: Solve for x
    x = 44,852,727,386.39/107,238.94
  6. Step 6: Final answer
    x = 418,250.39

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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.