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Finding the Third Proportional to 108,951.84 and 237,201.94

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Solution

The third proportional to 108,951.84 and 237,201.94 is: 516,418.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,951.84 : 237,201.94 = 237,201.94 : x
  2. Step 2: Convert to fraction form
    108,951.84/237,201.94 = 237,201.94/x
  3. Step 3: Cross multiply
    108,951.84x = 237,201.94 × 237,201.94
  4. Step 4: Simplify right side
    108,951.84x = 56,264,759,153.75
  5. Step 5: Solve for x
    x = 56,264,759,153.75/108,951.84
  6. Step 6: Final answer
    x = 516,418.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.