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Finding the Third Proportional to 96,108.40 and 145,891.13

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Solution

The third proportional to 96,108.40 and 145,891.13 is: 221,460.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,108.40 : 145,891.13 = 145,891.13 : x
  2. Step 2: Convert to fraction form
    96,108.40/145,891.13 = 145,891.13/x
  3. Step 3: Cross multiply
    96,108.40x = 145,891.13 × 145,891.13
  4. Step 4: Simplify right side
    96,108.40x = 21,284,220,353.77
  5. Step 5: Solve for x
    x = 21,284,220,353.77/96,108.40
  6. Step 6: Final answer
    x = 221,460.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.