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Finding the Third Proportional to 106,045.88 and 228,696.75

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Solution

The third proportional to 106,045.88 and 228,696.75 is: 493,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,045.88 : 228,696.75 = 228,696.75 : x
  2. Step 2: Convert to fraction form
    106,045.88/228,696.75 = 228,696.75/x
  3. Step 3: Cross multiply
    106,045.88x = 228,696.75 × 228,696.75
  4. Step 4: Simplify right side
    106,045.88x = 52,302,203,460.56
  5. Step 5: Solve for x
    x = 52,302,203,460.56/106,045.88
  6. Step 6: Final answer
    x = 493,203.56

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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.