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Finding the Third Proportional to 102,491.75 and 211,548.50

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Solution

The third proportional to 102,491.75 and 211,548.50 is: 436,647.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,491.75 : 211,548.50 = 211,548.50 : x
  2. Step 2: Convert to fraction form
    102,491.75/211,548.50 = 211,548.50/x
  3. Step 3: Cross multiply
    102,491.75x = 211,548.50 × 211,548.50
  4. Step 4: Simplify right side
    102,491.75x = 44,752,767,852.25
  5. Step 5: Solve for x
    x = 44,752,767,852.25/102,491.75
  6. Step 6: Final answer
    x = 436,647.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.