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Finding the Third Proportional to 102,934.50 and 220,137.75

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Solution

The third proportional to 102,934.50 and 220,137.75 is: 470,790.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,934.50 : 220,137.75 = 220,137.75 : x
  2. Step 2: Convert to fraction form
    102,934.50/220,137.75 = 220,137.75/x
  3. Step 3: Cross multiply
    102,934.50x = 220,137.75 × 220,137.75
  4. Step 4: Simplify right side
    102,934.50x = 48,460,628,975.06
  5. Step 5: Solve for x
    x = 48,460,628,975.06/102,934.50
  6. Step 6: Final answer
    x = 470,790.93

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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.