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Finding the Third Proportional to 98,796 and 146,478.75

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Solution

The third proportional to 98,796 and 146,478.75 is: 217,175.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,796 : 146,478.75 = 146,478.75 : x
  2. Step 2: Convert to fraction form
    98,796/146,478.75 = 146,478.75/x
  3. Step 3: Cross multiply
    98,796x = 146,478.75 × 146,478.75
  4. Step 4: Simplify right side
    98,796x = 21,456,024,201.56
  5. Step 5: Solve for x
    x = 21,456,024,201.56/98,796
  6. Step 6: Final answer
    x = 217,175.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.