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Finding the Third Proportional to 89,987.20 and 196,923.66

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Solution

The third proportional to 89,987.20 and 196,923.66 is: 430,938.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,987.20 : 196,923.66 = 196,923.66 : x
  2. Step 2: Convert to fraction form
    89,987.20/196,923.66 = 196,923.66/x
  3. Step 3: Cross multiply
    89,987.20x = 196,923.66 × 196,923.66
  4. Step 4: Simplify right side
    89,987.20x = 38,778,926,390.87
  5. Step 5: Solve for x
    x = 38,778,926,390.87/89,987.20
  6. Step 6: Final answer
    x = 430,938.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.