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Finding the Third Proportional to 106,677 and 216,421.88

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Solution

The third proportional to 106,677 and 216,421.88 is: 439,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,677 : 216,421.88 = 216,421.88 : x
  2. Step 2: Convert to fraction form
    106,677/216,421.88 = 216,421.88/x
  3. Step 3: Cross multiply
    106,677x = 216,421.88 × 216,421.88
  4. Step 4: Simplify right side
    106,677x = 46,838,427,978.52
  5. Step 5: Solve for x
    x = 46,838,427,978.52/106,677
  6. Step 6: Final answer
    x = 439,067.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.