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Finding the Third Proportional to 106,914.38 and 229,622.63

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Solution

The third proportional to 106,914.38 and 229,622.63 is: 493,166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,914.38 : 229,622.63 = 229,622.63 : x
  2. Step 2: Convert to fraction form
    106,914.38/229,622.63 = 229,622.63/x
  3. Step 3: Cross multiply
    106,914.38x = 229,622.63 × 229,622.63
  4. Step 4: Simplify right side
    106,914.38x = 52,726,549,911.89
  5. Step 5: Solve for x
    x = 52,726,549,911.89/106,914.38
  6. Step 6: Final answer
    x = 493,166.14

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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.