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Finding the Third Proportional to 104,301 and 225,230.63

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Solution

The third proportional to 104,301 and 225,230.63 is: 486,369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,301 : 225,230.63 = 225,230.63 : x
  2. Step 2: Convert to fraction form
    104,301/225,230.63 = 225,230.63/x
  3. Step 3: Cross multiply
    104,301x = 225,230.63 × 225,230.63
  4. Step 4: Simplify right side
    104,301x = 50,728,834,437.89
  5. Step 5: Solve for x
    x = 50,728,834,437.89/104,301
  6. Step 6: Final answer
    x = 486,369.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.