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Finding the Third Proportional to 93,717 and 204,565.50

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Solution

The third proportional to 93,717 and 204,565.50 is: 446,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,717 : 204,565.50 = 204,565.50 : x
  2. Step 2: Convert to fraction form
    93,717/204,565.50 = 204,565.50/x
  3. Step 3: Cross multiply
    93,717x = 204,565.50 × 204,565.50
  4. Step 4: Simplify right side
    93,717x = 41,847,043,790.25
  5. Step 5: Solve for x
    x = 41,847,043,790.25/93,717
  6. Step 6: Final answer
    x = 446,525.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.