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Finding the Third Proportional to 97,806.31 and 206,120.48

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Solution

The third proportional to 97,806.31 and 206,120.48 is: 434,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,806.31 : 206,120.48 = 206,120.48 : x
  2. Step 2: Convert to fraction form
    97,806.31/206,120.48 = 206,120.48/x
  3. Step 3: Cross multiply
    97,806.31x = 206,120.48 × 206,120.48
  4. Step 4: Simplify right side
    97,806.31x = 42,485,651,663.51
  5. Step 5: Solve for x
    x = 42,485,651,663.51/97,806.31
  6. Step 6: Final answer
    x = 434,385.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.