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Finding the Third Proportional to 98,096 and 151,863

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Solution

The third proportional to 98,096 and 151,863 is: 235,100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,096 : 151,863 = 151,863 : x
  2. Step 2: Convert to fraction form
    98,096/151,863 = 151,863/x
  3. Step 3: Cross multiply
    98,096x = 151,863 × 151,863
  4. Step 4: Simplify right side
    98,096x = 23,062,370,769
  5. Step 5: Solve for x
    x = 23,062,370,769/98,096
  6. Step 6: Final answer
    x = 235,100.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.