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Finding the Third Proportional to 96,516.56 and 145,534.22

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Solution

The third proportional to 96,516.56 and 145,534.22 is: 219,446.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,516.56 : 145,534.22 = 145,534.22 : x
  2. Step 2: Convert to fraction form
    96,516.56/145,534.22 = 145,534.22/x
  3. Step 3: Cross multiply
    96,516.56x = 145,534.22 × 145,534.22
  4. Step 4: Simplify right side
    96,516.56x = 21,180,208,827.17
  5. Step 5: Solve for x
    x = 21,180,208,827.17/96,516.56
  6. Step 6: Final answer
    x = 219,446.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.