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Finding the Third Proportional to 109,219.50 and 233,623.13

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Solution

The third proportional to 109,219.50 and 233,623.13 is: 499,725.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,219.50 : 233,623.13 = 233,623.13 : x
  2. Step 2: Convert to fraction form
    109,219.50/233,623.13 = 233,623.13/x
  3. Step 3: Cross multiply
    109,219.50x = 233,623.13 × 233,623.13
  4. Step 4: Simplify right side
    109,219.50x = 54,579,764,534.77
  5. Step 5: Solve for x
    x = 54,579,764,534.77/109,219.50
  6. Step 6: Final answer
    x = 499,725.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.