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Finding the Third Proportional to 106,039.13 and 228,328.88

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Solution

The third proportional to 106,039.13 and 228,328.88 is: 491,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,039.13 : 228,328.88 = 228,328.88 : x
  2. Step 2: Convert to fraction form
    106,039.13/228,328.88 = 228,328.88/x
  3. Step 3: Cross multiply
    106,039.13x = 228,328.88 × 228,328.88
  4. Step 4: Simplify right side
    106,039.13x = 52,134,075,158.77
  5. Step 5: Solve for x
    x = 52,134,075,158.77/106,039.13
  6. Step 6: Final answer
    x = 491,649.43

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Why These Related Problems?

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