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Finding the Third Proportional to 93,451 and 199,134

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Solution

The third proportional to 93,451 and 199,134 is: 424,333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,451 : 199,134 = 199,134 : x
  2. Step 2: Convert to fraction form
    93,451/199,134 = 199,134/x
  3. Step 3: Cross multiply
    93,451x = 199,134 × 199,134
  4. Step 4: Simplify right side
    93,451x = 39,654,349,956
  5. Step 5: Solve for x
    x = 39,654,349,956/93,451
  6. Step 6: Final answer
    x = 424,333.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.