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Finding the Third Proportional to 96,129.50 and 210,979

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Solution

The third proportional to 96,129.50 and 210,979 is: 463,043.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,129.50 : 210,979 = 210,979 : x
  2. Step 2: Convert to fraction form
    96,129.50/210,979 = 210,979/x
  3. Step 3: Cross multiply
    96,129.50x = 210,979 × 210,979
  4. Step 4: Simplify right side
    96,129.50x = 44,512,138,441
  5. Step 5: Solve for x
    x = 44,512,138,441/96,129.50
  6. Step 6: Final answer
    x = 463,043.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.