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Finding the Third Proportional to 92,264.06 and 196,009.88

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Solution

The third proportional to 92,264.06 and 196,009.88 is: 416,412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,264.06 : 196,009.88 = 196,009.88 : x
  2. Step 2: Convert to fraction form
    92,264.06/196,009.88 = 196,009.88/x
  3. Step 3: Cross multiply
    92,264.06x = 196,009.88 × 196,009.88
  4. Step 4: Simplify right side
    92,264.06x = 38,419,871,097.52
  5. Step 5: Solve for x
    x = 38,419,871,097.52/92,264.06
  6. Step 6: Final answer
    x = 416,412.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.