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Finding the Third Proportional to 93,885 and 208,760.25

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Solution

The third proportional to 93,885 and 208,760.25 is: 464,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,885 : 208,760.25 = 208,760.25 : x
  2. Step 2: Convert to fraction form
    93,885/208,760.25 = 208,760.25/x
  3. Step 3: Cross multiply
    93,885x = 208,760.25 × 208,760.25
  4. Step 4: Simplify right side
    93,885x = 43,580,841,980.06
  5. Step 5: Solve for x
    x = 43,580,841,980.06/93,885
  6. Step 6: Final answer
    x = 464,193.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.