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Finding the Third Proportional to 106,059.38 and 228,727.13

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Solution

The third proportional to 106,059.38 and 228,727.13 is: 493,271.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,059.38 : 228,727.13 = 228,727.13 : x
  2. Step 2: Convert to fraction form
    106,059.38/228,727.13 = 228,727.13/x
  3. Step 3: Cross multiply
    106,059.38x = 228,727.13 × 228,727.13
  4. Step 4: Simplify right side
    106,059.38x = 52,316,097,710.77
  5. Step 5: Solve for x
    x = 52,316,097,710.77/106,059.38
  6. Step 6: Final answer
    x = 493,271.79

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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.