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Finding the Third Proportional to 50,301 and 109,817.02

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Solution

The third proportional to 50,301 and 109,817.02 is: 239,752.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,301 : 109,817.02 = 109,817.02 : x
  2. Step 2: Convert to fraction form
    50,301/109,817.02 = 109,817.02/x
  3. Step 3: Cross multiply
    50,301x = 109,817.02 × 109,817.02
  4. Step 4: Simplify right side
    50,301x = 12,059,776,920.78
  5. Step 5: Solve for x
    x = 12,059,776,920.78/50,301
  6. Step 6: Final answer
    x = 239,752.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.