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Finding the Third Proportional to 96,287 and 198,709

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Solution

The third proportional to 96,287 and 198,709 is: 410,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,287 : 198,709 = 198,709 : x
  2. Step 2: Convert to fraction form
    96,287/198,709 = 198,709/x
  3. Step 3: Cross multiply
    96,287x = 198,709 × 198,709
  4. Step 4: Simplify right side
    96,287x = 39,485,266,681
  5. Step 5: Solve for x
    x = 39,485,266,681/96,287
  6. Step 6: Final answer
    x = 410,078.90

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.