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Finding the Third Proportional to 109,074.94 and 235,660.22

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Solution

The third proportional to 109,074.94 and 235,660.22 is: 509,152.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,074.94 : 235,660.22 = 235,660.22 : x
  2. Step 2: Convert to fraction form
    109,074.94/235,660.22 = 235,660.22/x
  3. Step 3: Cross multiply
    109,074.94x = 235,660.22 × 235,660.22
  4. Step 4: Simplify right side
    109,074.94x = 55,535,738,701.30
  5. Step 5: Solve for x
    x = 55,535,738,701.30/109,074.94
  6. Step 6: Final answer
    x = 509,152.15

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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.