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Finding the Third Proportional to 106,907.63 and 229,609.13

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Solution

The third proportional to 106,907.63 and 229,609.13 is: 493,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,907.63 : 229,609.13 = 229,609.13 : x
  2. Step 2: Convert to fraction form
    106,907.63/229,609.13 = 229,609.13/x
  3. Step 3: Cross multiply
    106,907.63x = 229,609.13 × 229,609.13
  4. Step 4: Simplify right side
    106,907.63x = 52,720,350,283.27
  5. Step 5: Solve for x
    x = 52,720,350,283.27/106,907.63
  6. Step 6: Final answer
    x = 493,139.29

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