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Finding the Third Proportional to 96,091.31 and 210,282.75

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Solution

The third proportional to 96,091.31 and 210,282.75 is: 460,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,091.31 : 210,282.75 = 210,282.75 : x
  2. Step 2: Convert to fraction form
    96,091.31/210,282.75 = 210,282.75/x
  3. Step 3: Cross multiply
    96,091.31x = 210,282.75 × 210,282.75
  4. Step 4: Simplify right side
    96,091.31x = 44,218,834,947.56
  5. Step 5: Solve for x
    x = 44,218,834,947.56/96,091.31
  6. Step 6: Final answer
    x = 460,175.16

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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.