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Finding the Third Proportional to 116,097.19 and 237,114

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Solution

The third proportional to 116,097.19 and 237,114 is: 484,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,097.19 : 237,114 = 237,114 : x
  2. Step 2: Convert to fraction form
    116,097.19/237,114 = 237,114/x
  3. Step 3: Cross multiply
    116,097.19x = 237,114 × 237,114
  4. Step 4: Simplify right side
    116,097.19x = 56,223,048,996
  5. Step 5: Solve for x
    x = 56,223,048,996/116,097.19
  6. Step 6: Final answer
    x = 484,275.72

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Why These Related Problems?

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