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Finding the Third Proportional to 96,616.13 and 147,796.88

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Solution

The third proportional to 96,616.13 and 147,796.88 is: 226,089.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,616.13 : 147,796.88 = 147,796.88 : x
  2. Step 2: Convert to fraction form
    96,616.13/147,796.88 = 147,796.88/x
  3. Step 3: Cross multiply
    96,616.13x = 147,796.88 × 147,796.88
  4. Step 4: Simplify right side
    96,616.13x = 21,843,916,259.77
  5. Step 5: Solve for x
    x = 21,843,916,259.77/96,616.13
  6. Step 6: Final answer
    x = 226,089.76

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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.