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Finding the Third Proportional to 96,643.13 and 149,338.13

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Solution

The third proportional to 96,643.13 and 149,338.13 is: 230,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,643.13 : 149,338.13 = 149,338.13 : x
  2. Step 2: Convert to fraction form
    96,643.13/149,338.13 = 149,338.13/x
  3. Step 3: Cross multiply
    96,643.13x = 149,338.13 × 149,338.13
  4. Step 4: Simplify right side
    96,643.13x = 22,301,875,578.52
  5. Step 5: Solve for x
    x = 22,301,875,578.52/96,643.13
  6. Step 6: Final answer
    x = 230,765.26

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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.