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Finding the Third Proportional to 106,492.78 and 227,193.47

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Solution

The third proportional to 106,492.78 and 227,193.47 is: 484,698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,492.78 : 227,193.47 = 227,193.47 : x
  2. Step 2: Convert to fraction form
    106,492.78/227,193.47 = 227,193.47/x
  3. Step 3: Cross multiply
    106,492.78x = 227,193.47 × 227,193.47
  4. Step 4: Simplify right side
    106,492.78x = 51,616,872,242.66
  5. Step 5: Solve for x
    x = 51,616,872,242.66/106,492.78
  6. Step 6: Final answer
    x = 484,698.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.