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Finding the Third Proportional to 121,566.02 and 195,323.48

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Solution

The third proportional to 121,566.02 and 195,323.48 is: 313,831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,566.02 : 195,323.48 = 195,323.48 : x
  2. Step 2: Convert to fraction form
    121,566.02/195,323.48 = 195,323.48/x
  3. Step 3: Cross multiply
    121,566.02x = 195,323.48 × 195,323.48
  4. Step 4: Simplify right side
    121,566.02x = 38,151,263,548.39
  5. Step 5: Solve for x
    x = 38,151,263,548.39/121,566.02
  6. Step 6: Final answer
    x = 313,831.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.