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Finding the Third Proportional to 93,651.75 and 204,788.25

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Solution

The third proportional to 93,651.75 and 204,788.25 is: 447,810.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,651.75 : 204,788.25 = 204,788.25 : x
  2. Step 2: Convert to fraction form
    93,651.75/204,788.25 = 204,788.25/x
  3. Step 3: Cross multiply
    93,651.75x = 204,788.25 × 204,788.25
  4. Step 4: Simplify right side
    93,651.75x = 41,938,227,338.06
  5. Step 5: Solve for x
    x = 41,938,227,338.06/93,651.75
  6. Step 6: Final answer
    x = 447,810.40

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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.