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Finding the Third Proportional to 108,318.94 and 233,764.17

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Solution

The third proportional to 108,318.94 and 233,764.17 is: 504,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,318.94 : 233,764.17 = 233,764.17 : x
  2. Step 2: Convert to fraction form
    108,318.94/233,764.17 = 233,764.17/x
  3. Step 3: Cross multiply
    108,318.94x = 233,764.17 × 233,764.17
  4. Step 4: Simplify right side
    108,318.94x = 54,645,688,052.40
  5. Step 5: Solve for x
    x = 54,645,688,052.40/108,318.94
  6. Step 6: Final answer
    x = 504,488.77

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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.