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Finding the Third Proportional to 100,265.50 and 214,065

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Solution

The third proportional to 100,265.50 and 214,065 is: 457,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,265.50 : 214,065 = 214,065 : x
  2. Step 2: Convert to fraction form
    100,265.50/214,065 = 214,065/x
  3. Step 3: Cross multiply
    100,265.50x = 214,065 × 214,065
  4. Step 4: Simplify right side
    100,265.50x = 45,823,824,225
  5. Step 5: Solve for x
    x = 45,823,824,225/100,265.50
  6. Step 6: Final answer
    x = 457,024.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.