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Finding the Third Proportional to 93,852 and 206,862.75

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Solution

The third proportional to 93,852 and 206,862.75 is: 455,954.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,852 : 206,862.75 = 206,862.75 : x
  2. Step 2: Convert to fraction form
    93,852/206,862.75 = 206,862.75/x
  3. Step 3: Cross multiply
    93,852x = 206,862.75 × 206,862.75
  4. Step 4: Simplify right side
    93,852x = 42,792,197,337.56
  5. Step 5: Solve for x
    x = 42,792,197,337.56/93,852
  6. Step 6: Final answer
    x = 455,954.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.