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Finding the Third Proportional to 107,794.55 and 226,762.03

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Solution

The third proportional to 107,794.55 and 226,762.03 is: 477,028.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,794.55 : 226,762.03 = 226,762.03 : x
  2. Step 2: Convert to fraction form
    107,794.55/226,762.03 = 226,762.03/x
  3. Step 3: Cross multiply
    107,794.55x = 226,762.03 × 226,762.03
  4. Step 4: Simplify right side
    107,794.55x = 51,421,018,816.63
  5. Step 5: Solve for x
    x = 51,421,018,816.63/107,794.55
  6. Step 6: Final answer
    x = 477,028.02

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.