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Finding the Third Proportional to 101,499 and 218,550

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Solution

The third proportional to 101,499 and 218,550 is: 470,586.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,499 : 218,550 = 218,550 : x
  2. Step 2: Convert to fraction form
    101,499/218,550 = 218,550/x
  3. Step 3: Cross multiply
    101,499x = 218,550 × 218,550
  4. Step 4: Simplify right side
    101,499x = 47,764,102,500
  5. Step 5: Solve for x
    x = 47,764,102,500/101,499
  6. Step 6: Final answer
    x = 470,586.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.