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Finding the Third Proportional to 93,301.88 and 199,916.44

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Solution

The third proportional to 93,301.88 and 199,916.44 is: 428,357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,301.88 : 199,916.44 = 199,916.44 : x
  2. Step 2: Convert to fraction form
    93,301.88/199,916.44 = 199,916.44/x
  3. Step 3: Cross multiply
    93,301.88x = 199,916.44 × 199,916.44
  4. Step 4: Simplify right side
    93,301.88x = 39,966,581,982.69
  5. Step 5: Solve for x
    x = 39,966,581,982.69/93,301.88
  6. Step 6: Final answer
    x = 428,357.76

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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.