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Finding the Third Proportional to 106,039.50 and 228,681.38

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Solution

The third proportional to 106,039.50 and 228,681.38 is: 493,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,039.50 : 228,681.38 = 228,681.38 : x
  2. Step 2: Convert to fraction form
    106,039.50/228,681.38 = 228,681.38/x
  3. Step 3: Cross multiply
    106,039.50x = 228,681.38 × 228,681.38
  4. Step 4: Simplify right side
    106,039.50x = 52,295,171,271.89
  5. Step 5: Solve for x
    x = 52,295,171,271.89/106,039.50
  6. Step 6: Final answer
    x = 493,166.90

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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.