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Finding the Third Proportional to 97,200 and 197,856

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Solution

The third proportional to 97,200 and 197,856 is: 402,746.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,200 : 197,856 = 197,856 : x
  2. Step 2: Convert to fraction form
    97,200/197,856 = 197,856/x
  3. Step 3: Cross multiply
    97,200x = 197,856 × 197,856
  4. Step 4: Simplify right side
    97,200x = 39,146,996,736
  5. Step 5: Solve for x
    x = 39,146,996,736/97,200
  6. Step 6: Final answer
    x = 402,746.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.