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Finding the Third Proportional to 109,332.91 and 178,530.96

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Solution

The third proportional to 109,332.91 and 178,530.96 is: 291,525.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,332.91 : 178,530.96 = 178,530.96 : x
  2. Step 2: Convert to fraction form
    109,332.91/178,530.96 = 178,530.96/x
  3. Step 3: Cross multiply
    109,332.91x = 178,530.96 × 178,530.96
  4. Step 4: Simplify right side
    109,332.91x = 31,873,304,013.27
  5. Step 5: Solve for x
    x = 31,873,304,013.27/109,332.91
  6. Step 6: Final answer
    x = 291,525.24

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.