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Finding the Third Proportional to 107,459.16 and 226,673.44

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Solution

The third proportional to 107,459.16 and 226,673.44 is: 478,143.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,459.16 : 226,673.44 = 226,673.44 : x
  2. Step 2: Convert to fraction form
    107,459.16/226,673.44 = 226,673.44/x
  3. Step 3: Cross multiply
    107,459.16x = 226,673.44 × 226,673.44
  4. Step 4: Simplify right side
    107,459.16x = 51,380,847,268.07
  5. Step 5: Solve for x
    x = 51,380,847,268.07/107,459.16
  6. Step 6: Final answer
    x = 478,143.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.