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Finding the Third Proportional to 45,246 and 99,415

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Solution

The third proportional to 45,246 and 99,415 is: 218,435.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,246 : 99,415 = 99,415 : x
  2. Step 2: Convert to fraction form
    45,246/99,415 = 99,415/x
  3. Step 3: Cross multiply
    45,246x = 99,415 × 99,415
  4. Step 4: Simplify right side
    45,246x = 9,883,342,225
  5. Step 5: Solve for x
    x = 9,883,342,225/45,246
  6. Step 6: Final answer
    x = 218,435.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.