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Finding the Third Proportional to 96,810 and 205,157

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Solution

The third proportional to 96,810 and 205,157 is: 434,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,810 : 205,157 = 205,157 : x
  2. Step 2: Convert to fraction form
    96,810/205,157 = 205,157/x
  3. Step 3: Cross multiply
    96,810x = 205,157 × 205,157
  4. Step 4: Simplify right side
    96,810x = 42,089,394,649
  5. Step 5: Solve for x
    x = 42,089,394,649/96,810
  6. Step 6: Final answer
    x = 434,762.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.