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Finding the Third Proportional to 122,946.61 and 195,496.66

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Solution

The third proportional to 122,946.61 and 195,496.66 is: 310,858.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,946.61 : 195,496.66 = 195,496.66 : x
  2. Step 2: Convert to fraction form
    122,946.61/195,496.66 = 195,496.66/x
  3. Step 3: Cross multiply
    122,946.61x = 195,496.66 × 195,496.66
  4. Step 4: Simplify right side
    122,946.61x = 38,218,945,659.57
  5. Step 5: Solve for x
    x = 38,218,945,659.57/122,946.61
  6. Step 6: Final answer
    x = 310,858.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.