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Finding the Third Proportional to 106,429.50 and 229,248

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Solution

The third proportional to 106,429.50 and 229,248 is: 493,797.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,429.50 : 229,248 = 229,248 : x
  2. Step 2: Convert to fraction form
    106,429.50/229,248 = 229,248/x
  3. Step 3: Cross multiply
    106,429.50x = 229,248 × 229,248
  4. Step 4: Simplify right side
    106,429.50x = 52,554,645,504
  5. Step 5: Solve for x
    x = 52,554,645,504/106,429.50
  6. Step 6: Final answer
    x = 493,797.73

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.