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Finding the Third Proportional to 96,113.81 and 210,321.56

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Solution

The third proportional to 96,113.81 and 210,321.56 is: 460,237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,113.81 : 210,321.56 = 210,321.56 : x
  2. Step 2: Convert to fraction form
    96,113.81/210,321.56 = 210,321.56/x
  3. Step 3: Cross multiply
    96,113.81x = 210,321.56 × 210,321.56
  4. Step 4: Simplify right side
    96,113.81x = 44,235,159,652.44
  5. Step 5: Solve for x
    x = 44,235,159,652.44/96,113.81
  6. Step 6: Final answer
    x = 460,237.28

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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.