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Finding the Third Proportional to 106,534.69 and 229,969.69

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Solution

The third proportional to 106,534.69 and 229,969.69 is: 496,421.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,534.69 : 229,969.69 = 229,969.69 : x
  2. Step 2: Convert to fraction form
    106,534.69/229,969.69 = 229,969.69/x
  3. Step 3: Cross multiply
    106,534.69x = 229,969.69 × 229,969.69
  4. Step 4: Simplify right side
    106,534.69x = 52,886,057,168.85
  5. Step 5: Solve for x
    x = 52,886,057,168.85/106,534.69
  6. Step 6: Final answer
    x = 496,421.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.