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Finding the Third Proportional to 93,844 and 195,428

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Solution

The third proportional to 93,844 and 195,428 is: 406,974.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,844 : 195,428 = 195,428 : x
  2. Step 2: Convert to fraction form
    93,844/195,428 = 195,428/x
  3. Step 3: Cross multiply
    93,844x = 195,428 × 195,428
  4. Step 4: Simplify right side
    93,844x = 38,192,103,184
  5. Step 5: Solve for x
    x = 38,192,103,184/93,844
  6. Step 6: Final answer
    x = 406,974.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.