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Finding the Third Proportional to 107,797 and 229,202

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Solution

The third proportional to 107,797 and 229,202 is: 487,337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,797 : 229,202 = 229,202 : x
  2. Step 2: Convert to fraction form
    107,797/229,202 = 229,202/x
  3. Step 3: Cross multiply
    107,797x = 229,202 × 229,202
  4. Step 4: Simplify right side
    107,797x = 52,533,556,804
  5. Step 5: Solve for x
    x = 52,533,556,804/107,797
  6. Step 6: Final answer
    x = 487,337.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.