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Finding the Third Proportional to 93,960 and 197,761.50

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Solution

The third proportional to 93,960 and 197,761.50 is: 416,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,960 : 197,761.50 = 197,761.50 : x
  2. Step 2: Convert to fraction form
    93,960/197,761.50 = 197,761.50/x
  3. Step 3: Cross multiply
    93,960x = 197,761.50 × 197,761.50
  4. Step 4: Simplify right side
    93,960x = 39,109,610,882.25
  5. Step 5: Solve for x
    x = 39,109,610,882.25/93,960
  6. Step 6: Final answer
    x = 416,236.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.