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Finding the Third Proportional to 116,097.75 and 237,115.69

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Solution

The third proportional to 116,097.75 and 237,115.69 is: 484,280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,097.75 : 237,115.69 = 237,115.69 : x
  2. Step 2: Convert to fraction form
    116,097.75/237,115.69 = 237,115.69/x
  3. Step 3: Cross multiply
    116,097.75x = 237,115.69 × 237,115.69
  4. Step 4: Simplify right side
    116,097.75x = 56,223,849,258.60
  5. Step 5: Solve for x
    x = 56,223,849,258.60/116,097.75
  6. Step 6: Final answer
    x = 484,280.27

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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.