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Finding the Third Proportional to 116,689.36 and 237,659.06

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Solution

The third proportional to 116,689.36 and 237,659.06 is: 484,035.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,689.36 : 237,659.06 = 237,659.06 : x
  2. Step 2: Convert to fraction form
    116,689.36/237,659.06 = 237,659.06/x
  3. Step 3: Cross multiply
    116,689.36x = 237,659.06 × 237,659.06
  4. Step 4: Simplify right side
    116,689.36x = 56,481,829,988.38
  5. Step 5: Solve for x
    x = 56,481,829,988.38/116,689.36
  6. Step 6: Final answer
    x = 484,035.82

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.