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Finding the Third Proportional to 54,358.91 and 110,247.01

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Solution

The third proportional to 54,358.91 and 110,247.01 is: 223,595.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,358.91 : 110,247.01 = 110,247.01 : x
  2. Step 2: Convert to fraction form
    54,358.91/110,247.01 = 110,247.01/x
  3. Step 3: Cross multiply
    54,358.91x = 110,247.01 × 110,247.01
  4. Step 4: Simplify right side
    54,358.91x = 12,154,403,592.91
  5. Step 5: Solve for x
    x = 12,154,403,592.91/54,358.91
  6. Step 6: Final answer
    x = 223,595.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.