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Finding the Third Proportional to 47,719.13 and 96,258.38

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Solution

The third proportional to 47,719.13 and 96,258.38 is: 194,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,719.13 : 96,258.38 = 96,258.38 : x
  2. Step 2: Convert to fraction form
    47,719.13/96,258.38 = 96,258.38/x
  3. Step 3: Cross multiply
    47,719.13x = 96,258.38 × 96,258.38
  4. Step 4: Simplify right side
    47,719.13x = 9,265,674,757.64
  5. Step 5: Solve for x
    x = 9,265,674,757.64/47,719.13
  6. Step 6: Final answer
    x = 194,171.10

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.