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Finding the Third Proportional to 110,127 and 229,821

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Solution

The third proportional to 110,127 and 229,821 is: 479,607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,127 : 229,821 = 229,821 : x
  2. Step 2: Convert to fraction form
    110,127/229,821 = 229,821/x
  3. Step 3: Cross multiply
    110,127x = 229,821 × 229,821
  4. Step 4: Simplify right side
    110,127x = 52,817,692,041
  5. Step 5: Solve for x
    x = 52,817,692,041/110,127
  6. Step 6: Final answer
    x = 479,607.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.