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Finding the Third Proportional to 102,935 and 220,138.75

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Solution

The third proportional to 102,935 and 220,138.75 is: 470,792.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,935 : 220,138.75 = 220,138.75 : x
  2. Step 2: Convert to fraction form
    102,935/220,138.75 = 220,138.75/x
  3. Step 3: Cross multiply
    102,935x = 220,138.75 × 220,138.75
  4. Step 4: Simplify right side
    102,935x = 48,461,069,251.56
  5. Step 5: Solve for x
    x = 48,461,069,251.56/102,935
  6. Step 6: Final answer
    x = 470,792.92

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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.