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Finding the Third Proportional to 93,270 and 199,838

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Solution

The third proportional to 93,270 and 199,838 is: 428,167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,270 : 199,838 = 199,838 : x
  2. Step 2: Convert to fraction form
    93,270/199,838 = 199,838/x
  3. Step 3: Cross multiply
    93,270x = 199,838 × 199,838
  4. Step 4: Simplify right side
    93,270x = 39,935,226,244
  5. Step 5: Solve for x
    x = 39,935,226,244/93,270
  6. Step 6: Final answer
    x = 428,167.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.