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Finding the Third Proportional to 44,835.50 and 98,378

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Solution

The third proportional to 44,835.50 and 98,378 is: 215,860.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,835.50 : 98,378 = 98,378 : x
  2. Step 2: Convert to fraction form
    44,835.50/98,378 = 98,378/x
  3. Step 3: Cross multiply
    44,835.50x = 98,378 × 98,378
  4. Step 4: Simplify right side
    44,835.50x = 9,678,230,884
  5. Step 5: Solve for x
    x = 9,678,230,884/44,835.50
  6. Step 6: Final answer
    x = 215,860.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.