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Finding the Third Proportional to 96,238.13 and 147,637.69

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Solution

The third proportional to 96,238.13 and 147,637.69 is: 226,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,238.13 : 147,637.69 = 147,637.69 : x
  2. Step 2: Convert to fraction form
    96,238.13/147,637.69 = 147,637.69/x
  3. Step 3: Cross multiply
    96,238.13x = 147,637.69 × 147,637.69
  4. Step 4: Simplify right side
    96,238.13x = 21,796,886,770.35
  5. Step 5: Solve for x
    x = 21,796,886,770.35/96,238.13
  6. Step 6: Final answer
    x = 226,489.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.