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Finding the Third Proportional to 93,717 and 204,909.75

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Solution

The third proportional to 93,717 and 204,909.75 is: 448,029.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,717 : 204,909.75 = 204,909.75 : x
  2. Step 2: Convert to fraction form
    93,717/204,909.75 = 204,909.75/x
  3. Step 3: Cross multiply
    93,717x = 204,909.75 × 204,909.75
  4. Step 4: Simplify right side
    93,717x = 41,988,005,645.06
  5. Step 5: Solve for x
    x = 41,988,005,645.06/93,717
  6. Step 6: Final answer
    x = 448,029.77

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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.