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Finding the Third Proportional to 89,864.44 and 140,967.84

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Solution

The third proportional to 89,864.44 and 140,967.84 is: 221,132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,864.44 : 140,967.84 = 140,967.84 : x
  2. Step 2: Convert to fraction form
    89,864.44/140,967.84 = 140,967.84/x
  3. Step 3: Cross multiply
    89,864.44x = 140,967.84 × 140,967.84
  4. Step 4: Simplify right side
    89,864.44x = 19,871,932,971.52
  5. Step 5: Solve for x
    x = 19,871,932,971.52/89,864.44
  6. Step 6: Final answer
    x = 221,132.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.