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Finding the Third Proportional to 93,205.41 and 204,555.94

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Solution

The third proportional to 93,205.41 and 204,555.94 is: 448,934.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,205.41 : 204,555.94 = 204,555.94 : x
  2. Step 2: Convert to fraction form
    93,205.41/204,555.94 = 204,555.94/x
  3. Step 3: Cross multiply
    93,205.41x = 204,555.94 × 204,555.94
  4. Step 4: Simplify right side
    93,205.41x = 41,843,131,566.50
  5. Step 5: Solve for x
    x = 41,843,131,566.50/93,205.41
  6. Step 6: Final answer
    x = 448,934.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.