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Finding the Third Proportional to 100,835 and 220,137.50

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Solution

The third proportional to 100,835 and 220,137.50 is: 480,592.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,835 : 220,137.50 = 220,137.50 : x
  2. Step 2: Convert to fraction form
    100,835/220,137.50 = 220,137.50/x
  3. Step 3: Cross multiply
    100,835x = 220,137.50 × 220,137.50
  4. Step 4: Simplify right side
    100,835x = 48,460,518,906.25
  5. Step 5: Solve for x
    x = 48,460,518,906.25/100,835
  6. Step 6: Final answer
    x = 480,592.24

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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.