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Finding the Third Proportional to 96,314.06 and 149,718.38

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Solution

The third proportional to 96,314.06 and 149,718.38 is: 232,734.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,314.06 : 149,718.38 = 149,718.38 : x
  2. Step 2: Convert to fraction form
    96,314.06/149,718.38 = 149,718.38/x
  3. Step 3: Cross multiply
    96,314.06x = 149,718.38 × 149,718.38
  4. Step 4: Simplify right side
    96,314.06x = 22,415,591,812.64
  5. Step 5: Solve for x
    x = 22,415,591,812.64/96,314.06
  6. Step 6: Final answer
    x = 232,734.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.