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Finding the Third Proportional to 45,414.42 and 98,415

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Solution

The third proportional to 45,414.42 and 98,415 is: 213,269.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,414.42 : 98,415 = 98,415 : x
  2. Step 2: Convert to fraction form
    45,414.42/98,415 = 98,415/x
  3. Step 3: Cross multiply
    45,414.42x = 98,415 × 98,415
  4. Step 4: Simplify right side
    45,414.42x = 9,685,512,225
  5. Step 5: Solve for x
    x = 9,685,512,225/45,414.42
  6. Step 6: Final answer
    x = 213,269.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.