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Finding the Third Proportional to 106,037.63 and 228,685.13

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Solution

The third proportional to 106,037.63 and 228,685.13 is: 493,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,037.63 : 228,685.13 = 228,685.13 : x
  2. Step 2: Convert to fraction form
    106,037.63/228,685.13 = 228,685.13/x
  3. Step 3: Cross multiply
    106,037.63x = 228,685.13 × 228,685.13
  4. Step 4: Simplify right side
    106,037.63x = 52,296,886,396.27
  5. Step 5: Solve for x
    x = 52,296,886,396.27/106,037.63
  6. Step 6: Final answer
    x = 493,191.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.