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Finding the Third Proportional to 96,495 and 197,670

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Solution

The third proportional to 96,495 and 197,670 is: 404,926.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,495 : 197,670 = 197,670 : x
  2. Step 2: Convert to fraction form
    96,495/197,670 = 197,670/x
  3. Step 3: Cross multiply
    96,495x = 197,670 × 197,670
  4. Step 4: Simplify right side
    96,495x = 39,073,428,900
  5. Step 5: Solve for x
    x = 39,073,428,900/96,495
  6. Step 6: Final answer
    x = 404,926.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.