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Finding the Third Proportional to 93,451.88 and 199,136.94

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Solution

The third proportional to 93,451.88 and 199,136.94 is: 424,341.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,451.88 : 199,136.94 = 199,136.94 : x
  2. Step 2: Convert to fraction form
    93,451.88/199,136.94 = 199,136.94/x
  3. Step 3: Cross multiply
    93,451.88x = 199,136.94 × 199,136.94
  4. Step 4: Simplify right side
    93,451.88x = 39,655,519,876.88
  5. Step 5: Solve for x
    x = 39,655,519,876.88/93,451.88
  6. Step 6: Final answer
    x = 424,341.62

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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.