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Finding the Third Proportional to 96,076 and 196,900

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Solution

The third proportional to 96,076 and 196,900 is: 403,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,076 : 196,900 = 196,900 : x
  2. Step 2: Convert to fraction form
    96,076/196,900 = 196,900/x
  3. Step 3: Cross multiply
    96,076x = 196,900 × 196,900
  4. Step 4: Simplify right side
    96,076x = 38,769,610,000
  5. Step 5: Solve for x
    x = 38,769,610,000/96,076
  6. Step 6: Final answer
    x = 403,530.64

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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.